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 starts from rest and speeds up uniformly to 27 m/s in 9 s. Find the acceleration a.

v₀ = 0 m/sv = 27 m/st = 9 s

a = m/s²

2.Easy

A car moving at 2 m/s speeds up with a constant acceleration of 1.5 m/s² for 12 s. Find its final speed v.

v₀ = 2 m/sa = 1.5 m/s²t = 12 s

v = m/s

3.Medium

A driver moving at 80 km/h sees an obstacle. Her reaction time is 0.9 s, after which the car brakes with a constant deceleration of 5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 80 km/ht_r = 0.9 sa = −5 m/s²

d = m

4.Medium

A car speeding at a constant 23 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 2 m/s². How long does it take the police car to catch up? Find t.

v_car = 23 m/sa_police = 2 m/s²v_0,police = 0

t = s

5.Hard

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 28 m/s² for 1 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 = 28 m/s²t₁ = 1 sg = 9.81 m/s²

h_max = m

6.Hard

A ball is thrown straight up at 6 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 = 6 m/sh₀ = 15 mg = 9.81 m/s²

t = s

Answer key

1. a = 3 m/s²
2. v = 20 m/s
3. d = 69.38 m
4. t = 23 s
5. h_max = 53.96 m
6. t = 2.464 s

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