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)10 s20

A car moving at 0 m/s speeds up with a constant acceleration of 2 m/s² for 10 s. How far does it travel in that time? Find s.

v₀ = 0 m/sa = 2 m/s²t = 10 s
s = m
2.Easy
t (s)v (m/s)6 s18

A car moving at 12 m/s speeds up with a constant acceleration of 1 m/s² for 6 s. How far does it travel in that time? Find s.

v₀ = 12 m/sa = 1 m/s²t = 6 s
s = m
3.Medium
a = 1.5 m/s²s = 2000 m

A plane starts from rest and accelerates uniformly at 1.5 m/s² along a runway. Find its speed v after 2000 m.

v₀ = 0a = 1.5 m/s²s = 2000 m
v = m/s
4.Medium
policea = 3.5 m/s²car19 m/s

A car speeding at a constant 19 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.

vcar = 19 m/sapolice = 3.5 m/s²v0,police = 0
t = s
5.Hard
v₀ = 13 m/s15 m

A ball is thrown straight up at 13 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 = 13 m/sh₀ = 15 mg = 9.81 m/s²
t = s
6.Hard
v₀ = 10 m/s25 m

A ball is thrown straight up at 10 m/s from the edge of a roof 25 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 = 10 m/sh₀ = 25 mg = 9.81 m/s²
t = s

Answer key

  1. 1. s = 100 m
  2. 2. s = 90 m
  3. 3. v = 77.46 m/s
  4. 4. t = 10.86 s
  5. 5. t = 3.519 s
  6. 6. t = 3.496 s

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