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Physics Review
2012
Terms - Measurements




time elapsed = duration of an event –
there is a beginning, a middle, and an
end to any event.
distance = path length
displacement = change in position
mass = measure of inertia or
resistance to change in state of motion
Terms - Measurements




time elapsed = duration of an event –
there is a beginning, a middle, and an
end to any event.
distance = path length
displacement = change in position
mass = measure of inertia or
resistance to change in state of motion
Terms - Measurements




time elapsed = duration of an event –
there is a beginning, a middle, and an
end to any event.
distance = path length
displacement = change in position
mass = measure of inertia or
resistance to change in state of motion
Terms - Measurements




time elapsed = duration of an event –
there is a beginning, a middle, and an
end to any event.
distance = path length
displacement = change in position
mass = measure of inertia or
resistance to change in state of motion
Terms - Measurements




time elapsed = duration of an event –
there is a beginning, a middle, and an
end to any event.
distance = path length
displacement = change in position
mass = measure of inertia or
resistance to change in state of motion
Terms - Measurements




time elapsed = duration of an event –
there is a beginning, a middle, and an
end to any event.
distance = path length
displacement = change in position
mass = measure of inertia or
resistance to change in state of motion
Terms - Measurements




time elapsed = duration of an event –
there is a beginning, a middle, and an
end to any event.
distance = path length
displacement = change in position
mass = measure of inertia or
resistance to change in state of motion
Terms - Measurements




time elapsed = duration of an event –
there is a beginning, a middle, and an
end to any event.
distance = path length
displacement = change in position
mass = measure of inertia or
resistance to change in state of motion
Terms - Measurements




time elapsed = duration of an event –
there is a beginning, a middle, and an
end to any event.
distance = path length
displacement = change in position
mass = measure of inertia or
resistance to change in state of motion
Calculated Values







speed – distance as a function of time
velocity – change in position as a function of time
acceleration – change in velocity as a function of
time
centripetal acceleration – Quotient of the velocity
squared and the distance from the center of
rotation
momentum – product of mass and velocity
change in momentum = Impulse = change in the
product of mass and velocity
force = change in momentum per unit of time
Calculated Values







speed – distance as a function of time
velocity – change in position as a function of time
acceleration – change in velocity as a function of
time
centripetal acceleration – Quotient of the velocity
squared and the distance from the center of
rotation
momentum – product of mass and velocity
change in momentum = Impulse = change in the
product of mass and velocity
force = change in momentum per unit of time
Calculated Values







speed – distance as a function of time
velocity – change in position as a function of time
acceleration – change in velocity as a function of
time
centripetal acceleration – Quotient of the velocity
squared and the distance from the center of
rotation
momentum – product of mass and velocity
change in momentum = Impulse = change in the
product of mass and velocity
force = change in momentum per unit of time
Calculated Values







speed – distance as a function of time
velocity – change in position as a function of time
acceleration – change in velocity as a function of
time
centripetal acceleration – Quotient of the velocity
squared and the distance from the center of
rotation
momentum – product of mass and velocity
change in momentum = Impulse = change in the
product of mass and velocity
force = change in momentum per unit of time
Calculated Values







speed – distance as a function of time
velocity – change in position as a function of time
acceleration – change in velocity as a function of
time
centripetal acceleration – Quotient of the velocity
squared and the distance from the center of
rotation
momentum – product of mass and velocity
change in momentum = Impulse = change in the
product of mass and velocity
force = change in momentum per unit of time
Calculated Values







speed – distance as a function of time
velocity – change in position as a function of time
acceleration – change in velocity as a function of
time
centripetal acceleration – Quotient of the velocity
squared and the distance from the center of
rotation
momentum – product of mass and velocity
change in momentum = Impulse = change in the
product of mass and velocity
force = change in momentum per unit of time
Calculated Values







speed – distance as a function of time
velocity – change in position as a function of time
acceleration – change in velocity as a function of
time
centripetal acceleration – Quotient of the velocity
squared and the distance from the center of
rotation
momentum – product of mass and velocity
change in momentum = Impulse = change in the
product of mass and velocity
force = change in momentum per unit of time
Calculated Values







speed – distance as a function of time
velocity – change in position as a function of time
acceleration – change in velocity as a function of
time
centripetal acceleration – Quotient of the velocity
squared and the distance from the center of
rotation
momentum – product of mass and velocity
change in momentum = Impulse = change in the
product of mass and velocity
force = change in momentum per unit of time
Calculated Values







speed – distance as a function of time
velocity – change in position as a function of time
acceleration – change in velocity as a function of
time
centripetal acceleration – Quotient of the velocity
squared and the distance from the center of
rotation
momentum – product of mass and velocity
change in momentum = Impulse = change in the
product of mass and velocity
force = change in momentum per unit of time
Calculated Values







speed – distance as a function of time
velocity – change in position as a function of time
acceleration – change in velocity as a function of
time
centripetal acceleration – Quotient of the velocity
squared and the distance from the center of
rotation
momentum – product of mass and velocity
change in momentum = Impulse = change in the
product of mass and velocity
force = change in momentum per unit of time
Calculated Values







speed – distance as a function of time
velocity – change in position as a function of time
acceleration – change in velocity as a function of
time
centripetal acceleration – Quotient of the velocity
squared and the distance from the center of
rotation
momentum – product of mass and velocity
change in momentum = Impulse = change in the
product of mass and velocity
force = change in momentum per unit of time
Calculated Values







speed – distance as a function of time
velocity – change in position as a function of time
acceleration – change in velocity as a function of
time
centripetal acceleration – Quotient of the velocity
squared and the distance from the center of
rotation
momentum – product of mass and velocity
change in momentum = Impulse = change in the
product of mass and velocity
force = change in momentum per unit of time
Calculated Values







speed – distance as a function of time
velocity – change in position as a function of time
acceleration – change in velocity as a function of
time
centripetal acceleration – Quotient of the velocity
squared and the distance from the center of
rotation
momentum – product of mass and velocity
change in momentum = Impulse = change in the
product of mass and velocity
force = change in momentum per unit of time
Calculated Values







speed – distance as a function of time
velocity – change in position as a function of time
acceleration – change in velocity as a function of
time
centripetal acceleration – Quotient of the velocity
squared and the distance from the center of
rotation
momentum – product of mass and velocity
change in momentum = Impulse = change in the
product of mass and velocity
force = change in momentum per unit of time
Calculated Values







speed – distance as a function of time
velocity – change in position as a function of time
acceleration – change in velocity as a function of
time
centripetal acceleration – Quotient of the velocity
squared and the distance from the center of
rotation
momentum – product of mass and velocity
change in momentum = Impulse = change in the
product of mass and velocity
force = change in momentum per unit of time
Calculated Values







speed – distance as a function of time
velocity – change in position as a function of time
acceleration – change in velocity as a function of
time
centripetal acceleration – Quotient of the velocity
squared and the distance from the center of
rotation
momentum – product of mass and velocity
change in momentum = Impulse = change in the
product of mass and velocity
force = change in momentum per unit of time
Calculated Values







speed – distance as a function of time
velocity – change in position as a function of time
acceleration – change in velocity as a function of
time
centripetal acceleration – Quotient of the velocity
squared and the distance from the center of
rotation
momentum – product of mass and velocity
change in momentum = Impulse = change in the
product of mass and velocity
force = change in momentum per unit of time
Calculated Values







speed – distance as a function of time
velocity – change in position as a function of time
acceleration – change in velocity as a function of
time
centripetal acceleration – Quotient of the velocity
squared and the distance from the center of
rotation
momentum – product of mass and velocity
change in momentum = Impulse = change in the
product of mass and velocity
force = change in momentum per unit of time
Calculated Values







speed – distance as a function of time
velocity – change in position as a function of time
acceleration – change in velocity as a function of
time
centripetal acceleration – Quotient of the velocity
squared and the distance from the center of
rotation
momentum – product of mass and velocity
change in momentum = Impulse = change in the
product of mass and velocity
force = change in momentum per unit of time
Calculated Values





Weight = Force due to Gravity = product of mass and
acceleration due to gravity
Universal Gravitational Force is directly proportional to
the universal gravitational constant, the mass of one
object, the mass of another object and inversely
proportional to the distance between the center of the
objects squared
work – product of parallel component of the force and
distance the force is applied through
Kinetic energy – product of ½ the mass and the velocity
squared
.
Calculated Values





Weight = Force due to Gravity = product of mass and
acceleration due to gravity
Universal Gravitational Force is directly proportional to
the universal gravitational constant, the mass of one
object, the mass of another object and inversely
proportional to the distance between the center of the
objects squared
work – product of parallel component of the force and
distance the force is applied through
Kinetic energy – product of ½ the mass and the velocity
squared
.
Calculated Values





Weight = Force due to Gravity = product of massand
acceleration due to gravity
Universal Gravitational Force is directly proportional to
the universal gravitational constant, the mass of one
object, the mass of another object and inversely
proportional to the distance between the center of the
objects squared
work – product of parallel component of the force and
distance the force is applied through
Kinetic energy – product of ½ the mass and the velocity
squared
.
Calculated Values





Weight = Force due to Gravity = product of massand
acceleration due to gravity
Universal Gravitational Force is directly proportional to
the universal gravitational constant, the mass of one
object, the mass of another object and inversely
proportional to the distance between the center of the
objects squared
work – product of parallel component of the force and
distance the force is applied through
Kinetic energy – product of ½ the mass and the velocity
squared
.
Calculated Values





Weight = Force due to Gravity = product of massand
acceleration due to gravity
Universal Gravitational Force is directly proportional to
the universal gravitational constant, the mass of one
object, the mass of another object and inversely
proportional to the distance between the center of the
objects squared
work – product of parallel component of the force and
distance the force is applied through
Kinetic energy – product of ½ the mass and the velocity
squared
.
Calculated Values





Weight = Force due to Gravity = product of massand
acceleration due to gravity
Universal Gravitational Force is directly proportional to
the universal gravitational constant, the mass of one
object, the mass of another object and inversely
proportional to the distance between the center of the
objects squared
work – product of parallel component of the force and
distance the force is applied through
Kinetic energy – product of ½ the mass and the velocity
squared
.
Calculated Values





Weight = Force due to Gravity = product of massand
acceleration due to gravity
Universal Gravitational Force is directly proportional to
the universal gravitational constant, the mass of one
object, the mass of another object and inversely
proportional to the distance between the center of the
objects squared
work – product of parallel component of the force and
distance the force is applied through
Kinetic energy – product of ½ the mass and the velocity
squared
.
Calculated Values





Weight = Force due to Gravity = product of massand
acceleration due to gravity
Universal Gravitational Force is directly proportional to
the universal gravitational constant, the mass of one
object, the mass of another object and inversely
proportional to the distance between the center of the
objects squared
work – product of parallel component of the force and
distance the force is applied through
Kinetic energy – product of ½ the mass and the velocity
squared
.
Calculated Values





Weight = Force due to Gravity = product of massand
acceleration due to gravity
Universal Gravitational Force is directly proportional to
the universal gravitational constant, the mass of one
object, the mass of another object and inversely
proportional to the distance between the center of the
objects squared
work – product of parallel component of the force and
distance the force is applied through
Kinetic energy – product of ½ the mass and the velocity
squared
.
Calculated Values





Weight = Force due to Gravity = product of massand
acceleration due to gravity
Universal Gravitational Force is directly proportional to
the universal gravitational constant, the mass of one
object, the mass of another object and inversely
proportional to the distance between the center of the
objects squared
work – product of parallel component of the force and
distance the force is applied through
Kinetic energy – product of ½ the mass and the velocity
squared
.
Calculated Values





Weight = Force due to Gravity = product of massand
acceleration due to gravity
Universal Gravitational Force is directly proportional to
the universal gravitational constant, the mass of one
object, the mass of another object and inversely
proportional to the distance between the center of the
objects squared
work – product of parallel component of the force and
distance the force is applied through
Kinetic energy – product of ½ the mass and the velocity
squared
.
Calculated Values





Weight = Force due to Gravity = product of massand
acceleration due to gravity
Universal Gravitational Force is directly proportional to
the universal gravitational constant, the mass of one
object, the mass of another object and inversely
proportional to the distance between the center of the
objects squared
work – product of parallel component of the force and
distance the force is applied through
Kinetic energy – product of ½ the mass and the velocity
squared
.
Calculated Values





Weight = Force due to Gravity = product of massand
acceleration due to gravity
Universal Gravitational Force is directly proportional to
the universal gravitational constant, the mass of one
object, the mass of another object and inversely
proportional to the distance between the center of the
objects squared
work – product of parallel component of the force and
distance the force is applied through
Kinetic energy – product of ½ the mass and the velocity
squared
.
Calculated Values





Weight = Force due to Gravity = product of massand
acceleration due to gravity
Universal Gravitational Force is directly proportional to
the universal gravitational constant, the mass of one
object, the mass of another object and inversely
proportional to the distance between the center of the
objects squared
work – product of parallel component of the force and
distance the force is applied through
Kinetic energy – product of ½ the mass and the velocity
squared
.
Calculated Values





Weight = Force due to Gravity = product of massand
acceleration due to gravity
Universal Gravitational Force is directly proportional to
the universal gravitational constant, the mass of one
object, the mass of another object and inversely
proportional to the distance between the center of the
objects squared
work – product of parallel component of the force and
distance the force is applied through
Kinetic energy – product of ½ the mass and the velocity
squared
.
Calculated Values





Weight = Force due to Gravity = product of massand
acceleration due to gravity
Universal Gravitational Force is directly proportional to
the universal gravitational constant, the mass of one
object, the mass of another object and inversely
proportional to the distance between the center of the
objects squared
work – product of parallel component of the force and
distance the force is applied through
Kinetic energy – product of ½ the mass and the velocity
squared
.
Calculated Values





Weight = Force due to Gravity = product of massand
acceleration due to gravity
Universal Gravitational Force is directly proportional to
the universal gravitational constant, the mass of one
object, the mass of another object and inversely
proportional to the distance between the center of the
objects squared
work – product of parallel component of the force and
distance the force is applied through
Kinetic energy – product of ½ the mass and the velocity
squared
.
Calculated Values





Power = work done per unit of time
Power = energy transferred per unit of time
Pressure= Force per unit area
Torque = product of perpendicular
component of force and distance the force is
applied to the center of rotation
moment of Inertia – sum of the product of
the mass and the distance from the center
of rotation squared
Calculated Values





Power = work done per unit of time
Power = energy transferred per unit of time
Pressure= Force per unit area
Torque = product of perpendicular
component of force and distance the force is
applied to the center of rotation
moment of Inertia – sum of the product of
the mass and the distance from the center
of rotation squared
Calculated Values





Power = work done per unit of time
Power = energy transferred per unit of time
Pressure= Force per unit area
Torque = product of perpendicular
component of force and distance the force is
applied to the center of rotation
moment of Inertia – sum of the product of
the mass and the distance from the center
of rotation squared
Calculated Values





Power = work done per unit of time
Power = energy transferred per unit of time
Pressure= Force per unit area
Torque = product of perpendicular
component of force and distance the force is
applied to the center of rotation
moment of Inertia – sum of the product of
the mass and the distance from the center
of rotation squared
Calculated Values





Power = work done per unit of time
Power = energy transferred per unit of time
Pressure= Force per unit area
Torque = product of perpendicular
component of force and distance the force is
applied to the center of rotation
moment of Inertia – sum of the product of
the mass and the distance from the center
of rotation squared
labs



Physics Terms
Walking speed Walking Velocity
Graphical Analysis



Slope analysis of position as a function of time
graph = speed /velocity
Slope analysis of velocity as a function of time
graph =acceleration
Area analysis of velocity as a function of time
= displacement
labs



Physics Terms
Walking speed Walking Velocity
Graphical Analysis



Slope analysis of position as a function of time
graph = speed /velocity
Slope analysis of velocity as a function of time
graph =acceleration
Area analysis of velocity as a function of time
= displacement
labs



Physics Terms
Walking speed Walking Velocity
Graphical Analysis



Slope analysis of position as a function of time
graph = speed /velocity
Slope analysis of velocity as a function of time
graph =acceleration
Area analysis of velocity as a function of time
= displacement
labs



Physics Terms
Walking speed Walking Velocity
Graphical Analysis



Slope analysis of position as a function of time
graph = speed /velocity
Slope analysis of velocity as a function of time
graph =acceleration
Area analysis of velocity as a function of time
= displacement
labs



Physics Terms
Walking speed Walking Velocity
Graphical Analysis



Slope analysis of position as a function of time
graph = speed /velocity
Slope analysis of velocity as a function of time
graph =acceleration
Area analysis of velocity as a function of time
= displacement
Labs – kinematics in 1 and 2 dimensions



Physics Terms
Walking speed Walking Velocity
Graphical Analysis









Slope analysis of position as a function of time graph
Slope analysis of velocity as a function of time graph
Area analysis of velocity as a function of time graph
Analysis of a Vertical Jump
Kinematics Equation analysis of cart up and down incline
a=v-vo
t
v =v +vo v= vo + at x=xo+vot+ 1/2 at2
2
Free fall picket fence lab
y vs t graph, vy vs t graph, and g vs t graph
v2 =vo2+2aDx
Labs – kinematics in 1 and 2 dimensions



Physics Terms
Walking speed Walking Velocity
Graphical Analysis









Slope analysis of position as a function of time graph
Slope analysis of velocity as a function of time graph
Area analysis of velocity as a function of time graph
Analysis of a Vertical Jump
Kinematics Equation analysis of cart up and down incline
a=v-vo
t
v =v +vo v= vo + at x=xo+vot+ 1/2 at2
2
Free fall picket fence lab
y vs t graph, vy vs t graph, and g vs t graph
v2 =vo2+2aDx
Labs – kinematics in 1 and 2 dimensions



Physics Terms
Walking speed Walking Velocity
Graphical Analysis









Slope analysis of position as a function of time graph
Slope analysis of velocity as a function of time graph
Area analysis of velocity as a function of time graph
Analysis of a Vertical Jump
Kinematics Equation analysis of cart up and down incline
a=v-vo
t
v =v +vo v= vo + at x=xo+vot+ 1/2 at2
2
Free fall picket fence lab
y vs t graph, vy vs t graph, and g vs t graph
v2 =vo2+2aDx
Labs – kinematics in 1 and 2 dimensions



Physics Terms
Walking speed Walking Velocity
Graphical Analysis









Slope analysis of position as a function of time graph
Slope analysis of velocity as a function of time graph
Area analysis of velocity as a function of time graph
Analysis of a Vertical Jump
Kinematics Equation analysis of cart up and down incline
a=v-vo
t
v =v +vo v= vo + at x=xo+vot+ 1/2 at2
2
Free fall picket fence lab
y vs t graph, vy vs t graph, and g vs t graph
v2 =vo2+2aDx
Labs – kinematics in 1 and 2 dimensions



Physics Terms
Walking speed Walking Velocity
Graphical Analysis









Slope analysis of position as a function of time graph
Slope analysis of velocity as a function of time graph
Area analysis of velocity as a function of time graph
Analysis of a Vertical Jump
Kinematics Equation analysis of cart up and down incline
a=v-vo
t
v =v +vo v= vo + at x=xo+vot+ 1/2 at2
2
Free fall picket fence lab
y vs t graph, vy vs t graph, and g vs t graph
v2 =vo2+2aDx
Labs – kinematics in 1 and 2 dimensions



Physics Terms
Walking speed Walking Velocity
Graphical Analysis









Slope analysis of position as a function of time graph
Slope analysis of velocity as a function of time graph
Area analysis of velocity as a function of time graph
Analysis of a Vertical Jump
Kinematics Equation analysis of cart up and down incline
a=v-vo
t
v =v +vo v= vo + at x=xo+vot+ 1/2 at2
2
Free fall picket fence lab
y vs t graph, vy vs t graph, and g vs t graph
v2 =vo2+2aDx
Labs – kinematics in 1 and 2 dimensions



Physics Terms
Walking speed Walking Velocity
Graphical Analysis









Slope analysis of position as a function of time graph
Slope analysis of velocity as a function of time graph
Area analysis of velocity as a function of time graph
Analysis of a Vertical Jump
Kinematics Equation analysis of cart up and down incline
a=v-vo
t
v =v +vo v= vo + at x=xo+vot+ 1/2 at2
2
Free fall picket fence lab
y vs t graph, vy vs t graph, and g vs t graph
v2 =vo2+2aDx
Labs – kinematics in 1 and 2 dimensions



Physics Terms
Walking speed Walking Velocity
Graphical Analysis









Slope analysis of position as a function of time graph
Slope analysis of velocity as a function of time graph
Area analysis of velocity as a function of time graph
Analysis of a Vertical Jump
Kinematics Equation analysis of cart up and down incline
a=v-vo
t
v =v +vo v= vo + at x=xo+vot+ 1/2 at2
2
Free fall picket fence lab
y vs t graph, vy vs t graph, and g vs t graph
v2 =vo2+2aDx
Labs – kinematics in 1 and 2 dimensions



Physics Terms
Walking speed Walking Velocity
Graphical Analysis









Slope analysis of position as a function of time graph
Slope analysis of velocity as a function of time graph
Area analysis of velocity as a function of time graph
Analysis of a Vertical Jump
Kinematics Equation analysis of cart up and down incline
a=v-vo
t
v =v +vo v= vo + at x=xo+vot+ 1/2 at2
2
Free fall picket fence lab
y vs t graph, vy vs t graph, and g vs t graph
v2 =vo2+2aDx
Labs – kinematics in 1 and 2 dimensions



Physics Terms
Walking speed Walking Velocity
Graphical Analysis









Slope analysis of position as a function of time graph
Slope analysis of velocity as a function of time graph
Area analysis of velocity as a function of time graph
Analysis of a Vertical Jump
Kinematics Equation analysis of cart up and down incline
a=v-vo
t
v =v +vo v= vo + at x=xo+vot+ 1/2 at2
2
Free fall picket fence lab
y vs t graph, vy vs t graph, and g vs t graph
v2 =vo2+2aDx
Labs – kinematics in 1 and 2 dimensions



Physics Terms
Walking speed Walking Velocity
Graphical Analysis









Slope analysis of position as a function of time graph
Slope analysis of velocity as a function of time graph
Area analysis of velocity as a function of time graph
Analysis of a Vertical Jump
Kinematics Equation analysis of cart up and down incline
a=v-vo
t
v =v +vo v= vo + at x=xo+vot+ 1/2 at2
2
Free fall picket fence lab
y vs t graph, vy vs t graph, and g vs t graph
v2 =vo2+2aDx
Labs – kinematics in 1 and 2 dimensions



Physics Terms
Walking speed Walking Velocity
Graphical Analysis









Slope analysis of position as a function of time graph
Slope analysis of velocity as a function of time graph
Area analysis of velocity as a function of time graph
Analysis of a Vertical Jump
Kinematics Equation analysis of cart up and down incline
a=v-vo
t
v =v +vo v= vo + at x=xo+vot+ 1/2 at2
2
Free fall picket fence lab
y vs t graph, vy vs t graph, and g vs t graph
v2 =vo2+2aDx
Labs – kinematics in 1 and 2 dimensions



Physics Terms
Walking speed Walking Velocity
Graphical Analysis









Slope analysis of position as a function of time graph
Slope analysis of velocity as a function of time graph
Area analysis of velocity as a function of time graph
Analysis of a Vertical Jump
Kinematics Equation analysis of cart up and down incline
a=v-vo
t
v =v +vo v= vo + at x=xo+vot+ 1/2 at2
2
Free fall picket fence lab
y vs t graph, vy vs t graph, and g vs t graph
v2 =vo2+2aDx
Labs – kinematics in 1 and 2 dimensions



Physics Terms
Walking speed Walking Velocity
Graphical Analysis









Slope analysis of position as a function of time graph
Slope analysis of velocity as a function of time graph
Area analysis of velocity as a function of time graph
Analysis of a Vertical Jump
Kinematics Equation analysis of cart up and down incline
a=v-vo
t
v =v +vo v= vo + at x=xo+vot+ 1/2 at2
2
Free fall picket fence lab
y vs t graph, vy vs t graph, and g vs t graph
v2 =vo2+2aDx
Labs – kinematics in 1 and 2 dimensions



Physics Terms
Walking speed Walking Velocity
Graphical Analysis









Slope analysis of position as a function of time graph
Slope analysis of velocity as a function of time graph
Area analysis of velocity as a function of time graph
Analysis of a Vertical Jump
Kinematics Equation analysis of cart up and down incline
a=v-vo
t
v =v +vo v= vo + at x=xo+vot+ 1/2 at2
2
Free fall picket fence lab
y vs t graph, vy vs t graph, and g vs t graph
v2 =vo2+2aDx
Labs – kinematics in 1 and 2 dimensions

Horizontally fired projectile



Horizontal range as a function of angle for ground to ground fired
projectiles








Time of flight is independent of horizontal velocity
Time of flight is dependent on height fired from
vox=vocosf
v ox= vx
voy = vosin f
vy = voy + gt
X and Y position as a function of time for a projectile fired at angle
above or below the horizon
X and Y position at maximum height for a projectile fired at an angle
above the horizon
ground to cliff fired projectiles
cliff to ground fired projectiles

Quadratic equation to find time of flight y=yo + voyt + ½ gt2
Labs – kinematics in 1 and 2 dimensions

Horizontally fired projectile



Horizontal range as a function of angle for ground to ground fired
projectiles








Time of flight is independent of horizontal velocity
Time of flight is dependent on height fired from
vox=vocosf
v ox= vx
voy = vosin f
vy = voy + gt
X and Y position as a function of time for a projectile fired at angle
above or below the horizon
X and Y position at maximum height for a projectile fired at an angle
above the horizon
ground to cliff fired projectiles
cliff to ground fired projectiles

Quadratic equation to find time of flight y=yo + voyt + ½ gt2
Labs – kinematics in 1 and 2 dimensions

Horizontally fired projectile



Horizontal range as a function of angle for ground to ground fired
projectiles








Time of flight is independent of horizontal velocity
Time of flight is dependent on height fired from
vox=vocosf
v ox= vx
voy = vosin f
vy = voy + gt
X and Y position as a function of time for a projectile fired at angle
above or below the horizon
X and Y position at maximum height for a projectile fired at an angle
above the horizon
ground to cliff fired projectiles
cliff to ground fired projectiles

Quadratic equation to find time of flight y=yo + voyt + ½ gt2
Labs – kinematics in 1 and 2 dimensions

Horizontally fired projectile



Horizontal range as a function of angle for ground to ground fired
projectiles








Time of flight is independent of horizontal velocity
Time of flight is dependent on height fired from
vox=vocosf
v ox= vx
voy = vosin f
vy = voy + gt
X and Y position as a function of time for a projectile fired at angle
above or below the horizon
X and Y position at maximum height for a projectile fired at an angle
above the horizon
ground to cliff fired projectiles
cliff to ground fired projectiles

Quadratic equation to find time of flight y=yo + voyt + ½ gt2
Labs – kinematics in 1 and 2 dimensions

Horizontally fired projectile



Horizontal range as a function of angle for ground to ground fired
projectiles








Time of flight is independent of horizontal velocity
Time of flight is dependent on height fired from
vox=vocosf
v ox= vx
voy = vosin f
vy = voy + gt
X and Y position as a function of time for a projectile fired at angle
above or below the horizon
X and Y position at maximum height for a projectile fired at an angle
above the horizon
ground to cliff fired projectiles
cliff to ground fired projectiles

Quadratic equation to find time of flight y=yo + voyt + ½ gt2
Labs – kinematics in 1 and 2 dimensions

Horizontally fired projectile



Horizontal range as a function of angle for ground to ground fired
projectiles








Time of flight is independent of horizontal velocity
Time of flight is dependent on height fired from
vox=vocosf
v ox= vx
voy = vosin f
vy = voy + gt
X and Y position as a function of time for a projectile fired at angle
above or below the horizon
X and Y position at maximum height for a projectile fired at an angle
above the horizon
ground to cliff fired projectiles
cliff to ground fired projectiles

Quadratic equation to find time of flight y=yo + voyt + ½ gt2
Labs – kinematics in 1 and 2 dimensions

Horizontally fired projectile



Horizontal range as a function of angle for ground to ground fired
projectiles








Time of flight is independent of horizontal velocity
Time of flight is dependent on height fired from
vox=vocosf
v ox= vx
voy = vosin f
vy = voy + gt
X and Y position as a function of time for a projectile fired at angle
above or below the horizon
X and Y position at maximum height for a projectile fired at an angle
above the horizon
ground to cliff fired projectiles
cliff to ground fired projectiles

Quadratic equation to find time of flight y=yo + voyt + ½ gt2
Labs – kinematics in 1 and 2 dimensions

Horizontally fired projectile



Horizontal range as a function of angle for ground to ground fired
projectiles








Time of flight is independent of horizontal velocity
Time of flight is dependent on height fired from
vox=vocosf
v ox= vx
voy = vosin f
vy = voy + gt
X and Y position as a function of time for a projectile fired at angle
above or below the horizon
X and Y position at maximum height for a projectile fired at an angle
above the horizon
ground to cliff fired projectiles
cliff to ground fired projectiles

Quadratic equation to find time of flight y=yo + voyt + ½ gt2
Labs - force

Force Table –


Graphical Method – tip to tail sketches
Analytical Method –








Draw vectors from original
Determine angles with respect to x axis
Determine x components
Determine y components
Determine sum of x components
Determine sum of y components
Use Pythagorean Theorem to determine Resultant Force
Use inv tan of sum of y components divided by sum of x
components to determine angle with respect to x axis
Labs - force

Force Table –


Graphical Method – tip to tail sketches
Analytical Method –








Draw vectors from original
Determine angles with respect to x axis
Determine x components
Determine y components
Determine sum of x components
Determine sum of y components
Use Pythagorean Theorem to determine Resultant Force
Use inv tan of sum of y components divided by sum of x
components to determine angle with respect to x axis
Labs - force

Force Table –


Graphical Method – tip to tail sketches
Analytical Method –








Draw vectors from original
Determine angles with respect to x axis
Determine x components
Determine y components
Determine sum of x components
Determine sum of y components
Use Pythagorean Theorem to determine Resultant Force
Use inv tan of sum of y components divided by sum of x
components to determine angle with respect to x axis
Labs - force

Force Table –


Graphical Method – tip to tail sketches
Analytical Method –








Draw vectors from original
Determine angles with respect to x axis
Determine x components
Determine y components
Determine sum of x components
Determine sum of y components
Use Pythagorean Theorem to determine Resultant Force
Use inv tan of sum of y components divided by sum of x
components to determine angle with respect to x axis
Labs - force

Force Table –


Graphical Method – tip to tail sketches
Analytical Method –








Draw vectors from original
Determine angles with respect to x axis
Determine x components
Determine y components
Determine sum of x components
Determine sum of y components
Use Pythagorean Theorem to determine Resultant Force
Use inv tan of sum of y components divided by sum of x
components to determine angle with respect to x axis
Labs - force

Force Table –


Graphical Method – tip to tail sketches
Analytical Method –








Draw vectors from original
Determine angles with respect to x axis
Determine x components
Determine y components
Determine sum of x components
Determine sum of y components
Use Pythagorean Theorem to determine Resultant Force
Use inv tan of sum of y components divided by sum of x
components to determine angle with respect to x axis
Labs - force

Force Table –


Graphical Method – tip to tail sketches
Analytical Method –








Draw vectors from original
Determine angles with respect to x axis
Determine x components
Determine y components
Determine sum of x components
Determine sum of y components
Use Pythagorean Theorem to determine Resultant Force
Use inv tan of sum of y components divided by sum of x
components to determine angle with respect to x axis
Labs - force

Force Table –


Graphical Method – tip to tail sketches
Analytical Method –








Draw vectors from original
Determine angles with respect to x axis
Determine x components
Determine y components
Determine sum of x components
Determine sum of y components
Use Pythagorean Theorem to determine Resultant Force
Use inv tan of sum of y components divided by sum of x
components to determine angle with respect to x axis
Labs - force

Force Table –


Graphical Method – tip to tail sketches
Analytical Method –








Draw vectors from original
Determine angles with respect to x axis
Determine x components
Determine y components
Determine sum of x components
Determine sum of y components
Use Pythagorean Theorem to determine Resultant Force
Use inv tan of sum of y components divided by sum of x
components to determine angle with respect to x axis
Labs - force

Force Table –


Graphical Method – tip to tail sketches
Analytical Method –








Draw vectors from original
Determine angles with respect to x axis
Determine x components
Determine y components
Determine sum of x components
Determine sum of y components
Use Pythagorean Theorem to determine Resultant Force
Use inv tan of sum of y components divided by sum of x
components to determine angle with respect to x axis
Labs - Force



Fan Cart F=ma
Frictionless Cart pulled by falling mass
fromula=a= mfg
(mf+mc)
Friction Block pulled by falling mass
formula = a = mfg – mmg
( mf + mb)
Labs - Force



Fan Cart F=ma
Frictionless Cart pulled by falling mass
fromula= a= mfg
(mf+mc)
Friction Block pulled by falling mass
formula = a = mfg – mmg
( mf + mb)
Labs - Force



Fan Cart F=ma
Frictionless Cart pulled by falling mass
fromula= a= mfg
(mf+mc)
Friction Block pulled by falling mass
formula = a = mfg – mmbg
( mf + mb)
Labs - Force

Frictionless Cart on incline


Friction Block on incline


Formula: a = gsinf
Formula: a = g sinf – mg cos f
Friction Block on incline falling mass


Formula a = mfg - mbg cos f - m mbg sinf
( m f + m b)
Labs - Force

Frictionless Cart on incline


Friction Block on incline


Formula: a = gsinf
Formula: a = g sinf – mg cos f
Friction Block on incline falling mass


Formula a = mfg - mbg cos f - m mbg sinf
( m f + m b)
Labs - Force

Frictionless Cart on incline


Friction Block on incline


Formula: a = gsinf
Formula: a = g sinf – mg cos f
Friction Block on incline falling mass


Formula a = mfg - mbg cos f - m mbg sinf
( m f + m b)
Labs - Force

Frictionless Cart on incline


Friction Block on incline


Formula: a = gsinf
Formula: a = g sinf – mg cos f
Friction Block on incline falling mass


Formula a = mfg - mbg sin f - m mbg cosf
( m f + m b)
Labs - Force









Elevator lab – stationary, accelerating up, constant velocity up,
decelerating up, stationary, accelerating down, constant
velocity down, decelerating down, stationary, free fall
Stationary, Constant Up, Constant Down
Formula: FN = Fg
Accelerating up or Decelerating Down
Formula: FN = Fg + Fnet
Accelerating down or Decelerating Up
Formula: FN = Fg - Fnet
Freefall
Formula: FN=0
Labs - Force









Elevator lab – stationary, accelerating up, constant velocity up,
decelerating up, stationary, accelerating down, constant
velocity down, decelerating down, stationary, free fall
Stationary, Constant Up, Constant Down
Formula: FN = Fg
Accelerating up or Decelerating Down
Formula: FN = Fg + Fnet
Accelerating down or Decelerating Up
Formula: FN = Fg - Fnet
Freefall
Formula: FN=0
Labs - Force









Elevator lab – stationary, accelerating up, constant velocity up,
decelerating up, stationary, accelerating down, constant
velocity down, decelerating down, stationary, free fall
Stationary, Constant Up, Constant Down
Formula: FN = Fg
Accelerating up or Decelerating Down
Formula: FN = Fg + Fnet
Accelerating down or Decelerating Up
Formula: FN = Fg - Fnet
Freefall
Formula: FN=0
Labs - Force









Elevator lab – stationary, accelerating up, constant velocity up,
decelerating up, stationary, accelerating down, constant
velocity down, decelerating down, stationary, free fall
Stationary, Constant Up, Constant Down
Formula: FN = Fg
Accelerating up or Decelerating Down
Formula: FN = Fg + Fnet
Accelerating down or Decelerating Up
Formula: FN = Fg - Fnet
Freefall
Formula: FN=0
Labs - Force









Elevator lab – stationary, accelerating up, constant velocity up,
decelerating up, stationary, accelerating down, constant
velocity down, decelerating down, stationary, free fall
Stationary, Constant Up, Constant Down
Formula: FN = Fg
Accelerating up or Decelerating Down
Formula: FN = Fg + Fnet
Accelerating down or Decelerating Up
Formula: FN = Fg - Fnet
Freefall
Formula: FN=0
Concept Maps
Newtons three laws

Law of inertia



Mass is a measure of inertia
Object at rest stay at rest until net force acts
on them
Objects in with a constant speed moving in a
straight line remain in this state until a net
force acts on them
Concept Maps
Newtons three laws

Law of inertia



Mass is a measure of inertia
Object at rest stay at rest until net force acts
on them
Objects in with a constant speed moving in a
straight line remain in this state until a net
force acts on them
Concept Maps
Newtons three laws

Law of inertia



Mass is a measure of inertia
Object at rest stay at rest until net force acts
on them
Objects in with a constant speed moving in a
straight line remain in this state until a net
force acts on them
Concept Maps
Newtons three laws

Law of inertia



Mass is a measure of inertia
Object at rest stay at rest until net force acts
on them
Objects in with a constant speed moving in a
straight line remain in this state until a net
force acts on them
Force concept maps



Quantitative Second Law
Force is equal to the change in momentum per unit
of time
Force is equal to the product of mass and
acceleration
Force concept maps



Quantitative Second Law
Force is equal to the change in momentum per unit
of time
Force is equal to the product of mass and
acceleration
Force concept maps



Quantitative Second Law
Force is equal to the change in momentum per unit
of time
Force is equal to the product of mass and
acceleration
Force concept maps



Quantitative Second Law
Force is equal to the change in momentum per unit
of time
Force is equal to the product of mass and
acceleration
Force concept maps



Quantitative Second Law
Force is equal to the change in momentum per unit
of time
Force is equal to the product of mass and
acceleration
Force concept maps

Action Reaction Third Law




Equal magnitude forces
Acting in opposite directions
Acting on two objects
Acting with the same type of force
Force concept maps

Action Reaction Third Law




Equal magnitude forces
Acting in opposite directions
Acting on two objects
Acting with the same type of force
Force concept maps

Action Reaction Third Law




Equal magnitude forces
Acting in opposite directions
Acting on two objects
Acting with the same type of force
Force concept maps

Action Reaction Third Law




Equal magnitude forces
Acting in opposite directions
Acting on two objects
Acting with the same type of force
Force concept maps

Action Reaction Third Law




Equal magnitude forces
Acting in opposite directions
Acting on two objects
Acting with the same type of force
Force concept maps

Non contact forces



Force due to gravity
Electrostatic and Magnostatic forces
Strong and Weak nuclear force
Force concept maps

Non contact forces



Force due to gravity
Electrostatic and Magnostatic forces
Strong and Weak nuclear force
Force concept maps

Contact forces



Push – Normal Force – Perpendicular to
a surface
Friction – requires normal force –
opposes motion
Pull – Tension – acts in both directions
Force concept maps

Contact forces



Push – Normal Force – Perpendicular to
a surface
Friction – requires normal force –
opposes motion
Pull – Tension – acts in both directions
Force concept maps

Contact forces



Push – Normal Force – Perpendicular to
a surface
Friction – requires normal force –
opposes motion
Pull – Tension – acts in both directions
Force concept maps

Contact forces



Push – Normal Force – Perpendicular to
a surface
Friction – requires normal force –
opposes motion
Pull – Tension – acts in both directions
Force concept maps

Contact forces



Push – Normal Force – Perpendicular to
a surface
Friction – requires normal force –
opposes motion
Pull – Tension – acts in both directions
Force concept maps

Contact forces



Push – Normal Force – Perpendicular to
a surface
Friction – requires normal force –
opposes motion
Pull – Tension – acts in both directions
Force concept maps

Contact forces



Push – Normal Force – Perpendicular to
a surface
Friction – requires normal force –
opposes motion
Pull – Tension – acts in both directions
Free body diagrams




Fg = force due to gravity = weight
FN = perpendicular push
Ffr = opposes motion
FT = pull = tension
Free body diagrams




Fg = force due to gravity = weight
FN = perpendicular push
Ffr = opposes motion
FT = pull = tension
Free body diagrams




Fg = force due to gravity = weight
FN = perpendicular push
Ffr = opposes motion
FT = pull = tension
Free body diagrams




Fg = force due to gravity = weight
FN = perpendicular push
Ffr = opposes motion
FT = pull = tension
Free body diagrams




Fg = force due to gravity = weight
FN = perpendicular push
Ffr = opposes motion
FT = pull = tension
Labs – Uniform Circular Motion




Swing ride – Tension creates a center seeking force –
centripetal force
Gravitron- Normal force creates a center seeking force –
centripetal force
Hotwheel rollercoaster – Weightlessness at top – gravity
creates the center seeking force – centripetal force
Turntable ride – friction creates a central seeking force –
centripetal force
Labs – Uniform Circular Motion




Swing ride – Tension creates a center seeking force –
centripetal force
Gravitron- Normal force creates a center seeking force –
centripetal force
Hotwheel rollercoaster – Weightlessness at top – gravity
creates the center seeking force – centripetal force
Turntable ride – friction creates a central seeking force –
centripetal force
Labs – Uniform Circular Motion




Swing ride – Tension creates a center seeking force –
centripetal force
Gravitron- Normal force creates a center seeking force –
centripetal force
Hotwheel rollercoaster – Weightlessness at top – gravity
creates the center seeking force – centripetal force
Turntable ride – friction creates a central seeking force –
centripetal force
Labs – Uniform Circular Motion




Swing ride – Tension creates a center seeking force –
centripetal force
Gravitron- Normal force creates a center seeking force –
centripetal force
Hotwheel rollercoaster – Weightlessness at top – gravity
creates the center seeking force – centripetal force
Turntable ride – friction creates a central seeking force –
centripetal force
Labs – Uniform Circular Motion




Swing ride – Tension creates a center seeking force –
centripetal force
Gravitron- Normal force creates a center seeking force –
centripetal force
Hotwheel rollercoaster – Weightlessness at top – gravity
creates the center seeking force – centripetal force
Turntable ride – friction creates a central seeking force –
centripetal force
Labs – Uniform Circular Motion



Cavendish Torsion Balance – Fg = G m1m2
r2
Universal Gravitational Constant – big G = 6.67x10-11 Nm2/kg2
Mass of the earth calculation mg = G m1me
r2
Earth’s moon orbital velocity calculation
Satellite orbital velocity calculation
Geostationary Satellite orbital velocity and orbital radius calculation
Bipolar Star calculation
Fc = mv2 = G m1m2 = Fg
r
r2
v= 2pr(rev)
t
Labs – Uniform Circular Motion



Cavendish Torsion Balance – Fg = G m1m2
r2
Universal Gravitational Constant – big G = 6.67x10-11 Nm2/kg2
Mass of the earth calculation mg = G m1me
r2
Earth’s moon orbital velocity calculation
Satellite orbital velocity calculation
Geostationary Satellite orbital velocity and orbital radius calculation
Bipolar Star calculation
Fc = mv2 = G m1m2 = Fg
r
r2
v= 2pr(rev)
t
Labs – Uniform Circular Motion



Cavendish Torsion Balance – Fg = G m1m2
r2
Universal Gravitational Constant – big G = 6.67x10-11 Nm2/kg2
Mass of the earth calculation mg = G m1me
r2
Earth’s moon orbital velocity calculation
Satellite orbital velocity calculation
Geostationary Satellite orbital velocity and orbital radius calculation
Bipolar Star calculation
Fc = mv2 = G m1m2 = Fg
r
r2
v= 2pr(rev)
t
Labs – Uniform Circular Motion



Cavendish Torsion Balance – Fg = G m1m2
r2
Universal Gravitational Constant – big G = 6.67x10-11 Nm2/kg2
Mass of the earth calculation mg = G m1me
r2
Earth’s moon orbital velocity calculation
Satellite orbital velocity calculation
Geostationary Satellite orbital velocity and orbital radius calculation
Bipolar Star calculation
Fc = mv2 = G m1m2 = Fg
r
r2
v= 2pr(rev)
t
Labs – Uniform Circular Motion



Cavendish Torsion Balance – Fg = G m1m2
r2
Universal Gravitational Constant – big G = 6.67x10-11 Nm2/kg2
Mass of the earth calculation mg = G m1me
r2
Earth’s moon orbital velocity calculation
Satellite orbital velocity calculation
Geostationary Satellite orbital velocity and orbital radius calculation
Bipolar Star calculation
Fc = mv2 = G m1m2 = Fg
r
r2
v= 2pr(rev)
t
Kinematics / Dynamics Relationships

Distance / Displacement

Speed/Velocity
Time
Mass
Kinematics / Dynamics Relationships

Distance / Displacement

Speed/Velocity
Time
Mass
Kinematics / Dynamics Relationships

Distance / Displacement

Speed/Velocity
Time
Mass
Kinematics / Dynamics Relationships

Distance / Displacement

Speed/Velocity
Time
Mass
Kinematics / Dynamics Relationships

Distance / Displacement

Speed/Velocity
Time
Mass
Kinematics / Dynamics Relationships

Distance / Displacement

Speed/Velocity
Time
Mass
Kinematics / Dynamics Relationships

Distance / Displacement

Speed/Velocity
Time
Mass
Kinematics / Dynamics Relationships

Distance / Displacement

Speed/Velocity
Time
Mass
Kinematics / Dynamics Relationships

Distance / Displacement

Speed/Velocity
Time
Mass
Kinematics / Dynamics Relationships

Distance / Displacement

Speed/Velocity
Time
acceleration
Mass
Kinematics / Dynamics Relationships

Distance / Displacement

Speed/Velocity
Time
Mass
acceleration
Momentum
Kinematics / Dynamics Relationships

Distance / Displacement

Speed/Velocity
Time
Mass
acceleration
Momentum
Kinematics / Dynamics Relationships

Distance / Displacement

Speed/Velocity
Time
Mass
acceleration
Momentum (Change)
Kinematics / Dynamics Relationships

Distance / Displacement

Speed/Velocity
Time
Mass
acceleration
Momentum (Change)
Force
Kinematics / Dynamics Relationships

Distance / Displacement

Speed/Velocity
Time
Mass
acceleration
Momentum
Force
Kinematics / Dynamics Relationships

Distance / Displacement

Speed/Velocity
Time
Mass
acceleration
Momentum
Force
Kinematics / Dynamics Relationships

Distance / Displacement

Speed/Velocity
Time
Mass
acceleration
Momentum
Force
Kinematics / Dynamics Relationships

Distance / Displacement

Speed/Velocity
Time
Mass
acceleration
Momentum
Force
Work /
Kinematics / Dynamics Relationships

Distance / Displacement

Speed/Velocity
Time
Mass
acceleration
Momentum
Force
Work / Energy
Kinematics / Dynamics Relationships

Distance / Displacement

Speed/Velocity
Time
Mass
acceleration
Momentum
Force
Work / Energy
Kinematics / Dynamics Relationships

Distance / Displacement

Speed/Velocity
Time
Mass
acceleration
Momentum
Force
Work / Energy
Power
Kinematics / Dynamics
Relationships


Distance/Displacement
Time
Mass
Speed/Velocity
Kinematics / Dynamics
Relationships

Distance/Displacement


m/s
Time
Mass
Kinematics / Dynamics
Relationships


Distance/Displacement
Speed/Velocity=m/s


Time
m/s/s=m/s2
Mass
Kinematics / Dynamics
Relationships


Distance/Displacement
Time
Speed/Velocity = m/s
Acceleration =m/s2
Mass
Kinematics / Dynamics
Relationships

Distance/Displacement
Time
Mass
Speed/Velocity=m/s
kg m/s
Acceleration= m/s2
Kinematics / Dynamics
Relationships

Distance/Displacement
Time
Mass
Speed/Velocity=m/s
kg m/s -momentum
Acceleration= m/s2
Kinematics / Dynamics
Relationships


Distance/Displacement
Time
Mass
Speed/Velocity=m/s
Momentum=kg m/s
Acceleration=m/s2




kg m/s/s=kg m/s2
Kinematics / Dynamics
Relationships


Distance/Displacement
Time
Mass
Speed/Velocity=m/s
Momentum=kg m/s
Acceleration=m/s2




Force=Newton=kg m/s2
Kinematics / Dynamics
Relationships


Distance/Displacement
Time
Mass
Speed/Velocity=m/s
Momentum=kg m/s
Acceleration=m/s2


kg m/s2
Kinematics / Dynamics
Relationships


Distance/Displacement
Time
Mass
Speed/Velocity=m/s
Momentum=kg m/s
Acceleration=m/s2



Force=Newton =kg m/s2
Kinematics / Dynamics
Relationships


Distance/Displacement
Time
Mass
Speed/Velocity=m/s
Momentum=kg m/s
Acceleration=m/s2
Force= Newtons=kg m/s2






N m = Kg m/s2 m
Kinematics / Dynamics
Relationships


Distance/Displacement
Time
Mass
Speed/Velocity=m/s
Momentum=kg m/s
Acceleration=m/s2
Force=Newtons = kg m/s2






N m = Kg m2/s2
Kinematics / Dynamics
Relationships


Distance/Displacement
Time
Mass
Speed/Velocity=m/s
Momentum=kg m/s
Acceleration=m/s2
Force=Newton=kg m/s2



Work /
Kinematics / Dynamics
Relationships


Distance/Displacement
Time
Mass
Speed/Velocity=m/s
Momentum=kg m/s
Acceleration=m/s2



Force=Newton=kg m/s2
Work / Energy = Joule = N m = kg m2/s2
Kinematics / Dynamics
Relationships


Distance/Displacement
Time
Mass
Speed/Velocity=m/s
Momentum=kg m/s
Acceleration=m/s2
Force=N=kg m/s2

Work / Energy=J = N m = kg m2 / s2




kg m2/s2/s
Kinematics / Dynamics
Relationships


Distance/Displacement
Time
Mass
Speed/Velocity=m/s
Momentum=kg m/s
Acceleration=m/s2
Force=N=kg m/s2

Work / Energy=J = N m = kg m2 / s2




kg m2/s2/s = kg m2/s3
Kinematics / Dynamics
Relationships


Distance/Displacement
Time
Mass
Speed/Velocity=m/s
Momentum=kg m/s
Acceleration=m/s2
Force=N=kg m/s2

Work / Energy=J = N m = kg m2 / s2




kg m2/s2/s = kg m2/s3 = N m = J
s
s
Kinematics / Dynamics
Relationships


Distance/Displacement
Time
Mass
Speed/Velocity=m/s
Momentum=kg m/s
Acceleration=m/s2
Force=N=kg m/s2

Work / Energy=J = N m = kg m2 / s2




kg m2/s2/s = kg m2/s3 = N m = J = W
s
s
Kinematics / Dynamics
Relationships


Distance/Displacement
Time
Mass
Speed/Velocity=m/s
Momentum=kg m/s
Acceleration=m/s2
Force=N=kg m/s2

Work / Energy=J = N m = kg m2 / s2




Power
kg m2/s2/s = kg m2/s3 = N m = J = W
s
s
Graphical Analysis


Position
Time
Graphical Analysis


Position
Time
Graphical Analysis


Position
Time
stopped


Position
Time
Graphical Analysis


Position
Time
Constant velocity –constant
momentum – no acceleration


Position
Time
Graphical Analysis


Position
Time
Constant velocity – constant
momentum – no acceleration


Position
Time
Graphical Analysis


Position
Time
Increasing velocity – increasing
momentum - accelerating


Position
Time
Graphical Analysis


Position
Time
Increasing velocity – increasing
momentum - accelerating


Position
Time
Graphical Analysis


Position
Time
Decreasing velocity – decreasing
momentum - decelerating


Position
Time
Graphical Analysis


Position
Time
Decreasing velocity – decreasing
momentum - decelerating


Position
Time
Graphical Analysis

O m/s
Velocity vs Time

Velocity

0 m/s

time
Stopped

O m/s
Accelerating

O m/s
accelerating

O m/s
decelerating

O m/s
decelerating

O m/s
Constant velocity

O m/s
Constant Velocity

O m/s
Graphical Analysis Slopes

Postion

time
Slope = velocity

Postion

time
Velocity vs Time Slope

Velocity

time
Slope of V vs T = Acceleration

Velocity

time
Area of V vs T = ?


Velocity
time
Area of V vs T = Distance traveled


Velocity
time
Area of V vs T = Distance traveled


Velocity
time
Force vs Distance

Force
Distance
Force vs Distance


Force
spring constant
K=N
m


Distance
Force vs Distance

Force

E.P.E=1/2 Kx2


Distance
Force vs Distance

Force


Area = Work


Distance