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 30 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 = 30 mg = 9.81 m/s²

t = s

2.Easy

A car moving at 6 m/s speeds up with a constant acceleration of 2.5 m/s² for 9 s. Find its final speed v.

v₀ = 6 m/sa = 2.5 m/s²t = 9 s

v = m/s

3.Medium

A car driving at 45 km/h brakes with a constant deceleration of 5.5 m/s² until it stops. Find the braking distance s.

v₀ = 45 km/ha = −5.5 m/s²v = 0

s = m

4.Medium

A car speeding at a constant 17 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 4 m/s². How far from its starting point does the police car catch up? Find d.

v_car = 17 m/sa_police = 4 m/s²v_0,police = 0

d = m

5.Hard

A ball is thrown straight up at 13 m/s from the edge of a roof 25 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 = 13 m/sh₀ = 25 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 36 m/s² for 1.5 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 = 36 m/s²t₁ = 1.5 sg = 9.81 m/s²

h_max = m

Answer key

1. t = 2.473 s
2. v = 28.5 m/s
3. s = 14.2 m
4. d = 144.5 m
5. t = 3.943 s
6. h_max = 189.1 m

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