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 3.5 m/s² for 10 s. Find its final speed v.

v₀ = 14 m/sa = 3.5 m/s²t = 10 s

v = m/s

2.Easy

A car speeds up uniformly from 5 m/s to 10 m/s in 4 s. Find the acceleration a.

v₀ = 5 m/sv = 10 m/st = 4 s

a = m/s²

3.Medium

A driver moving at 100 km/h sees an obstacle. Her reaction time is 1.1 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 = 100 km/ht_r = 1.1 sa = −5 m/s²

d = m

4.Medium

A car speeding at a constant 35 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 = 35 m/sa_police = 3.5 m/s²v_0,police = 0

t = s

5.Hard

A ball is thrown straight up at 17 m/s from the edge of a roof 5 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 = 17 m/sh₀ = 5 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 3 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 = 3 sg = 9.81 m/s²

h_max = m

Answer key

1. v = 49 m/s
2. a = 1.25 m/s²
3. d = 107.7 m
4. t = 20 s
5. t = 3.739 s
6. h_max = 547.8 m

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