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

v₀ = 6 m/sa = 4 m/s²t = 11 s

s = m

2.Easy

A train slows down uniformly from 11 m/s to 1 m/s in 12 s. How far does it travel in that time? Find s.

v₀ = 11 m/sv = 1 m/st = 12 s

s = m

3.Medium

A driver moving at 120 km/h sees an obstacle. Her reaction time is 1.3 s, after which the car brakes with a constant deceleration of 7 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 120 km/ht_r = 1.3 sa = −7 m/s²

d = m

4.Medium

A car speeding at a constant 16 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 5 m/s². How long does it take the police car to catch up? Find t.

v_car = 16 m/sa_police = 5 m/s²v_0,police = 0

t = s

5.Hard

A ball is thrown straight up at 11 m/s from the edge of a roof 40 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 = 11 m/sh₀ = 40 mg = 9.81 m/s²

t = s

6.Hard

A stone is dropped from rest into a well. The splash is heard 2.3 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 = 2.3 sv_sound = 343 m/sg = 9.81 m/s²

d = m

Answer key

1. s = 308 m
2. s = 72 m
3. d = 122.7 m
4. t = 6.4 s
5. t = 4.189 s
6. d = 24.37 m

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