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 stone is dropped from rest from a bridge 80 m above the water. Ignore air resistance and use g = 9.81 m/s². How long does it take to reach the water? Find t.

v₀ = 0h = 80 mg = 9.81 m/s²

t = s

2.Easy

A car speeds up uniformly from 5 m/s to 25 m/s in 8 s. Find the acceleration a.

v₀ = 5 m/sv = 25 m/st = 8 s

a = m/s²

3.Medium

A car driving at 45 km/h brakes with a constant deceleration of 8 m/s² until it stops. Find the braking distance s.

v₀ = 45 km/ha = −8 m/s²v = 0

s = m

4.Medium

A car speeding at a constant 19 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 3 m/s². How far from its starting point does the police car catch up? Find d.

v_car = 19 m/sa_police = 3 m/s²v_0,police = 0

d = m

5.Hard

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 34 m/s² for 3 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 = 34 m/s²t₁ = 3 sg = 9.81 m/s²

h_max = m

6.Hard

A ball is thrown straight up at 18 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 = 18 m/sh₀ = 30 mg = 9.81 m/s²

t = s

Answer key

1. t = 4.039 s
2. a = 2.5 m/s²
3. s = 9.766 m
4. d = 240.7 m
5. h_max = 683.3 m
6. t = 4.914 s

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