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 14 m/s speeds up with a constant acceleration of 4 m/s² for 4 s. How far does it travel in that time? Find s.

v₀ = 14 m/sa = 4 m/s²t = 4 s

s = m

2.Easy

A car moving at 8 m/s speeds up with a constant acceleration of 3 m/s² for 7 s. Find its final speed v.

v₀ = 8 m/sa = 3 m/s²t = 7 s

v = m/s

3.Medium

A plane needs a speed of 260 km/h to take off and the usable runway is 1000 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 260 km/hs = 1000 m

a = m/s²

4.Medium

A car speeding at a constant 18 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 3.5 m/s². How long does it take the police car to catch up? Find t.

v_car = 18 m/sa_police = 3.5 m/s²v_0,police = 0

t = s

5.Hard

A ball is thrown straight up at 16 m/s from the edge of a roof 10 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 = 16 m/sh₀ = 10 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 20 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 = 20 m/s²t₁ = 1.5 sg = 9.81 m/s²

h_max = m

Answer key

1. s = 88 m
2. v = 29 m/s
3. a = 2.608 m/s²
4. t = 10.29 s
5. t = 3.799 s
6. h_max = 68.37 m

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