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
t (s)v (m/s)7 s29.5

A car speeds up uniformly from 12 m/s to 29.5 m/s in 7 s. Find the acceleration a.

v₀ = 12 m/sv = 29.5 m/st = 7 s
a = m/s²
2.Easy
t (s)v (m/s)8 s16

A car speeds up uniformly from 2 m/s to 16 m/s in 8 s. Find the acceleration a.

v₀ = 2 m/sv = 16 m/st = 8 s
a = m/s²
3.Medium
policea = 2 m/s²car15 m/s

A car speeding at a constant 15 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 2 m/s². How far from its starting point does the police car catch up? Find d.

vcar = 15 m/sapolice = 2 m/s²v0,police = 0
d = m
4.Medium
t (s)v (m/s)6.667 s30

A car driving at 108 km/h brakes with a constant deceleration of 4.5 m/s² until it stops. Find the braking distance s.

v₀ = 108 km/ha = −4.5 m/s²v = 0
s = m
5.Hard
a = 34 m/s²

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 34 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 hmax the rocket reaches.

a = 34 m/s²t1 = 3 sg = 9.81 m/s²
hmax = m
6.Hard
v₀ = 5 m/s15 m

A ball is thrown straight up at 5 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 = 5 m/sh₀ = 15 mg = 9.81 m/s²
t = s

Answer key

  1. 1. a = 2.5 m/s²
  2. 2. a = 1.75 m/s²
  3. 3. d = 225 m
  4. 4. s = 100 m
  5. 5. hmax = 683.3 m
  6. 6. t = 2.331 s

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