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 1.5 m/s² for 5 s. How far does it travel in that time? Find s.

v₀ = 8 m/sa = 1.5 m/s²t = 5 s

s = m

2.Easy

A car moving at 16 m/s speeds up with a constant acceleration of 2.5 m/s² for 7 s. Find its final speed v.

v₀ = 16 m/sa = 2.5 m/s²t = 7 s

v = m/s

3.Medium

A car speeding at a constant 24 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 = 24 m/sa_police = 4 m/s²v_0,police = 0

d = m

4.Medium

A car driving at 54 km/h brakes with a constant deceleration of 3.5 m/s² until it stops. Find the braking distance s.

v₀ = 54 km/ha = −3.5 m/s²v = 0

s = m

5.Hard

A ball is thrown straight up at 5 m/s from the edge of a roof 30 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height h_max above the ground.

v₀ = 5 m/sh₀ = 30 mg = 9.81 m/s²

h_max = m

6.Hard

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 38 m/s² for 2 s, after which the engine stops and the rocket moves freely. Ignore air resistance and use g = 9.81 m/s². How long after launch does it hit the ground? Find t.

a = 38 m/s²t₁ = 2 sg = 9.81 m/s²

t = s

Answer key

1. s = 58.75 m
2. v = 33.5 m/s
3. d = 288 m
4. s = 32.14 m
5. h_max = 31.27 m
6. t = 18.44 s

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