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)14 s4

A train slows down uniformly from 15 m/s to 4 m/s in 14 s. How far does it travel in that time? Find s.

v₀ = 15 m/sv = 4 m/st = 14 s
s = m
2.Easy
t (s)v (m/s)17 s18

A train slows down uniformly from 26 m/s to 18 m/s in 17 s. How far does it travel in that time? Find s.

v₀ = 26 m/sv = 18 m/st = 17 s
s = m
3.Medium
policea = 5 m/s²car25 m/s

A car speeding at a constant 25 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 5 m/s². How far from its starting point does the police car catch up? Find d.

vcar = 25 m/sapolice = 5 m/s²v0,police = 0
d = m
4.Medium
t (s)v (m/s)2.5 s20

A car driving at 72 km/h brakes with a constant deceleration of 8 m/s² until it stops. Find the braking distance s.

v₀ = 72 km/ha = −8 m/s²v = 0
s = m
5.Hard
v₀ = 19 m/s40 m

A ball is thrown straight up at 19 m/s from the edge of a roof 40 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 = 19 m/sh₀ = 40 mg = 9.81 m/s²
t = s
6.Hard
a = 20 m/s²

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 20 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 = 20 m/s²t1 = 3 sg = 9.81 m/s²
hmax = m

Answer key

  1. 1. s = 133 m
  2. 2. s = 374 m
  3. 3. d = 250 m
  4. 4. s = 25 m
  5. 5. t = 5.387 s
  6. 6. hmax = 273.5 m

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