Kinematics worksheet with answers

Free printable Kinematics worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy

A car moving at 4 m/s speeds up with a constant acceleration of 3 m/s² for 11 s. How far does it travel in that time? Find s.

v₀ = 4 m/sa = 3 m/s²t = 11 s

s = m

2.Easy

A car moving at 2 m/s speeds up with a constant acceleration of 3 m/s² for 9 s. Find its final speed v.

v₀ = 2 m/sa = 3 m/s²t = 9 s

v = m/s

3.Medium

A car speeding at a constant 27 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 5.5 m/s². How far from its starting point does the police car catch up? Find d.

v_car = 27 m/sa_police = 5.5 m/s²v_0,police = 0

d = m

4.Medium

A driver moving at 120 km/h sees an obstacle. Her reaction time is 0.6 s, after which the car brakes with a constant deceleration of 5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 120 km/ht_r = 0.6 sa = −5 m/s²

d = m

5.Hard

A stone is dropped from rest into a well. The splash is heard 1.5 s after the stone is released. The speed of sound is 343 m/s; ignore air resistance and use g = 9.81 m/s². Find the depth d of the well.

t_total = 1.5 sv_sound = 343 m/sg = 9.81 m/s²

d = m

6.Hard

A ball is thrown straight up at 12 m/s from the edge of a roof 20 m above the ground. Ignore air resistance and use g = 9.81 m/s². How long after the throw does it hit the ground? Find t.

v₀ = 12 m/sh₀ = 20 mg = 9.81 m/s²

t = s

Answer key

1. s = 225.5 m
2. v = 29 m/s
3. d = 265.1 m
4. d = 131.1 m
5. d = 10.59 m
6. t = 3.584 s

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