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 10 m/s speeds up with a constant acceleration of 4 m/s² for 3 s. Find its final speed v.

v₀ = 10 m/sa = 4 m/s²t = 3 s

v = m/s

2.Easy

A car moving at 8 m/s speeds up with a constant acceleration of 0.5 m/s² for 5 s. How far does it travel in that time? Find s.

v₀ = 8 m/sa = 0.5 m/s²t = 5 s

s = m

3.Medium

A car speeding at a constant 30 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 = 30 m/sa_police = 3 m/s²v_0,police = 0

d = m

4.Medium

A plane needs a speed of 280 km/h to take off and the usable runway is 2100 m long. Starting from rest, what constant acceleration a does it need?

v₀ = 0v = 280 km/hs = 2100 m

a = m/s²

5.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. Find the greatest height h_max the rocket reaches.

a = 30 m/s²t₁ = 2.5 sg = 9.81 m/s²

h_max = m

6.Hard

A stone is dropped from rest into a well. The splash is heard 1.8 s after the stone is released. The speed of sound is 343 m/s; ignore air resistance and use g = 9.81 m/s². Find the depth d of the well.

t_total = 1.8 sv_sound = 343 m/sg = 9.81 m/s²

d = m

Answer key

1. v = 22 m/s
2. s = 46.25 m
3. d = 600 m
4. a = 1.44 m/s²
5. h_max = 380.4 m
6. d = 15.12 m

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