Download Kinematics Problems, Page 1 Formula: Δx = ½(vf + vi) Δt “LITTLE

Kinematics Problems, Page 1
Formula: Δx = ½(vf + vi) Δt
“LITTLE STAR”
Kinematics Problems, Page 2
Formula: vf = vi + aΔt “ONE STAR”
a for gravity = 10m/s2
Don’t forget the four steps for each problem:
1) List knowns and unknowns in a table
2) Draw a diagram labeling everything
3) Select your formula based on knowns and unknowns
4) Solve for the unknown
Don’t forget the four steps for each problem:
1) List knowns and unknowns in a table
2) Draw a diagram labeling everything
3) Select your formula based on knowns and unknowns
4) Solve for the unknown
For each problem, follow and show all four steps in your solution
For each problem, follow and show all four steps in your solution
1) (Solve for Δx) From rest, a ball rolls down a hill, experiencing
constant acceleration. After 12 seconds its velocity is 6.0 m/s.
How far did it roll?
2) (Solve for Δx) A theme park ride, with an initial velocity of 24m/s
starts up a steep ramp. After 4.0 seconds it comes to a stop. How
long is the ramp?
3) (Solve for Δt) The theme park ride from question 2 has been
modified. The ramp is now 40 meters long and the initial velocity
is 30 m/s. How much time before the ride stops?
4) (Solve for Δt) An airplane lands on a 1200 m long runway with an
initial velocity of 90 m/s. At the end the plane has a final velocity
of 10 m/s. How much time did it spend slowing down?
5) (Solve for vf) Another airplane lands on the same runway at
90m/s. If the plane reaches the end of the 1200 m runway in
18 seconds, what was the final velocity of the plane?
6) (Solve for vi) A much slower airplane lands on the same runway.
If its final velocity is 12 m/s and it takes 42 seconds to go 1200m,
what was its initial velocity?
7) Write your own problem using this formula. A classmate will have
to answer it tomorrow!
1) (Solve for vf) From rest, a penny falls from a tall building for 3.5
seconds. What is its final velocity?
2) (Solve for vf) A satellite falls directly toward Jupiter with an
acceleration of 25 m/s2. If its initial velocity was 10 m/s, how
fast is it going after falling for 12 seconds?
3) (Solve for a) A street car can stop from 30 m/s in 6.0 seconds.
What is the acceleration of the car when it’s slowing down?
4) (Solve for a) A formula 1 racing car can slow down from 80 m/s
(about 170 mph) to 10 m/s (about 22mph) in 2.0 seconds. What
is its acceleration?
5) (Solve for vi) A person throws a baseball straight up. If, after 4
seconds the ball is still going up at 14 m/s, how fast did the
person throw the ball?
6) (Solve for time) A person jumps out of a window and lands in on
a safety net. If they were falling at 25 m/s before they hit the
net, for how much time were they falling?
7) Write your own problem using this formula. A classmate will
have to answer it tomorrow.