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 4 m/s speeds up with a constant acceleration of 2 m/s² for 10 s. Find its final speed v.

v₀ = 4 m/sa = 2 m/s²t = 10 s

v = m/s

2.Easy

A stone is dropped from rest from a bridge 65 m above the water. Ignore air resistance and use g = 9.81 m/s². Find its speed v just before it hits the water.

v₀ = 0h = 65 mg = 9.81 m/s²

v = m/s

3.Medium

A car speeding at a constant 28 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 = 28 m/sa_police = 4.5 m/s²v_0,police = 0

t = s

4.Medium

A plane starts from rest and accelerates uniformly at 2 m/s² along a runway. Find its speed v after 1200 m.

v₀ = 0a = 2 m/s²s = 1200 m

v = m/s

5.Hard

A ball is thrown straight up at 13 m/s from the edge of a roof 15 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 = 15 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 30 m/s² for 2.5 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 = 30 m/s²t₁ = 2.5 sg = 9.81 m/s²

t = s

Answer key

1. v = 24 m/s
2. v = 35.71 m/s
3. t = 12.44 s
4. v = 69.28 m/s
5. t = 3.519 s
6. t = 18.95 s

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