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)8 s16

A car moving at 12 m/s speeds up with a constant acceleration of 0.5 m/s² for 8 s. How far does it travel in that time? Find s.

v₀ = 12 m/sa = 0.5 m/s²t = 8 s
s = m
2.Easy
t (s)v (m/s)17 s1

A train slows down uniformly from 11 m/s to 1 m/s in 17 s. How far does it travel in that time? Find s.

v₀ = 11 m/sv = 1 m/st = 17 s
s = m
3.Medium
policea = 5.5 m/s²car21 m/s

A car speeding at a constant 21 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 5.5 m/s². How long does it take the police car to catch up? Find t.

vcar = 21 m/sapolice = 5.5 m/s²v0,police = 0
t = s
4.Medium
policea = 2.5 m/s²car24 m/s

A car speeding at a constant 24 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 2.5 m/s². How long does it take the police car to catch up? Find t.

vcar = 24 m/sapolice = 2.5 m/s²v0,police = 0
t = s
5.Hard
v₀ = 14 m/s5 m

A ball is thrown straight up at 14 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 = 14 m/sh₀ = 5 mg = 9.81 m/s²
t = s
6.Hard
v₀ = 8 m/s10 m

A ball is thrown straight up at 8 m/s from the edge of a roof 10 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 = 8 m/sh₀ = 10 mg = 9.81 m/s²
t = s

Answer key

  1. 1. s = 112 m
  2. 2. s = 102 m
  3. 3. t = 7.636 s
  4. 4. t = 19.2 s
  5. 5. t = 3.175 s
  6. 6. t = 2.46 s

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