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 8 m/s speeds up with a constant acceleration of 3 m/s² for 7 s. How far does it travel in that time? Find s.

v₀ = 8 m/sa = 3 m/s²t = 7 s

s = m

2.Easy

A train slows down uniformly from 10 m/s to 1 m/s in 8 s. How far does it travel in that time? Find s.

v₀ = 10 m/sv = 1 m/st = 8 s

s = m

3.Medium

A driver moving at 100 km/h sees an obstacle. Her reaction time is 0.5 s, after which the car brakes with a constant deceleration of 5.5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 100 km/ht_r = 0.5 sa = −5.5 m/s²

d = m

4.Medium

A car speeding at a constant 21 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 4.5 m/s². How long does it take the police car to catch up? Find t.

v_car = 21 m/sa_police = 4.5 m/s²v_0,police = 0

t = s

5.Hard

A ball is thrown straight up at 8 m/s from the edge of a roof 30 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 = 8 m/sh₀ = 30 mg = 9.81 m/s²

t = s

6.Hard

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 28 m/s² for 1 s, after which the engine stops and the rocket moves freely. Ignore air resistance and use g = 9.81 m/s². Find the greatest height h_max the rocket reaches.

a = 28 m/s²t₁ = 1 sg = 9.81 m/s²

h_max = m

Answer key

1. s = 129.5 m
2. s = 44 m
3. d = 84.03 m
4. t = 9.333 s
5. t = 3.42 s
6. h_max = 53.96 m

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