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)20 s1

A train slows down uniformly from 17 m/s to 1 m/s in 20 s. How far does it travel in that time? Find s.

v₀ = 17 m/sv = 1 m/st = 20 s
s = m
2.Easy
t (s)v (m/s)17 s19

A train slows down uniformly from 29 m/s to 19 m/s in 17 s. How far does it travel in that time? Find s.

v₀ = 29 m/sv = 19 m/st = 17 s
s = m
3.Medium
policea = 4.5 m/s²car20 m/s

A car speeding at a constant 20 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.

vcar = 20 m/sapolice = 4.5 m/s²v0,police = 0
t = s
4.Medium
a = 1.75 m/s²s = 2000 m

A plane starts from rest and accelerates uniformly at 1.75 m/s² along a runway. Find its speed v after 2000 m.

v₀ = 0a = 1.75 m/s²s = 2000 m
v = m/s
5.Hard
v₀ = 18 m/s30 m

A ball is thrown straight up at 18 m/s from the edge of a roof 30 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 18 m/sh₀ = 30 mg = 9.81 m/s²
hmax = m
6.Hard
v₀ = 15 m/s35 m

A ball is thrown straight up at 15 m/s from the edge of a roof 35 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 = 15 m/sh₀ = 35 mg = 9.81 m/s²
t = s

Answer key

  1. 1. s = 180 m
  2. 2. s = 408 m
  3. 3. t = 8.889 s
  4. 4. v = 83.67 m/s
  5. 5. hmax = 46.51 m
  6. 6. t = 4.607 s

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