Download PHYS 1111 Exam 1 Formula Sheet

PHYS 1111 Exam 1 Formula Sheet
Displacement: ∆x = xf – xi
Average speed = distance/time
Average velocity: vav = ∆x/∆t
Average acceleration: aav = ∆v/∆t
1-dimensional motion with constant acceleration:
v = v0 + at
vav = 1/2 (v0 + v )
x = x0 + 1/2 (v0 + v ) t
x = x0 + v0 t + 1/2 at2
v2 = v02 + 2a(x – x0)
Acceleration due to gravity: g = 9.81 m/s2
Components of a vector:
x component of vector A: Ax = A cos θ, where θ is measured relative to the x-axis.
y component of vector A: Ay = A sin θ, where θ is measured relative to the x-axis.
Magnitude of vector A:
A = √(Ax2 + Ay2 )
Direction angle of vector A: θ = tan-1 (Ay / Ax )
Unit vectors, vector addition:
A + B = (Ax + Bx) x + (Ay + By) y
Relative motion:
v13 = v12 + v23
Projectile motion:
ax = 0
ay = – g
General launch angle from origin (x0 = y0 = 0) with initial speed v0 at an angle θ
with respect to the horizontal:
x = (v0 cos θ) t
y = (v0 sin θ) t – 1/2 gt2
vx = v0 cos θ
vy = v0 sin θ – gt
vx 2 = v02 cos2 θ
vy 2 = v02 sin2 θ – 2 g ∆y
Range:
R = (v02/g) sin 2θ
Maximum Height:
ymax = (v02 sin2 θ)/2g
Other info:
Volume = Area × depth = 4πR3/3
1 in = 0.0254 m
1 µm = 10−6 m