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 2.5 m/s² for 3 s. Find its final speed v.

v₀ = 8 m/sa = 2.5 m/s²t = 3 s

v = m/s

2.Easy

A car moving at 6 m/s speeds up with a constant acceleration of 3.5 m/s² for 10 s. Find its final speed v.

v₀ = 6 m/sa = 3.5 m/s²t = 10 s

v = m/s

3.Medium

A car speeding at a constant 26 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 = 26 m/sa_police = 4.5 m/s²v_0,police = 0

t = s

4.Medium

A plane starts from rest and accelerates uniformly at 3 m/s² along a runway. Find its speed v after 1500 m.

v₀ = 0a = 3 m/s²s = 1500 m

v = m/s

5.Hard

A stone is dropped from rest into a well. The splash is heard 3.6 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 = 3.6 sv_sound = 343 m/sg = 9.81 m/s²

d = m

6.Hard

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 34 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 = 34 m/s²t₁ = 1.5 sg = 9.81 m/s²

h_max = m

Answer key

1. v = 15.5 m/s
2. v = 41 m/s
3. t = 11.56 s
4. v = 94.87 m/s
5. d = 57.76 m
6. h_max = 170.8 m

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