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 s7

A train slows down uniformly from 20 m/s to 7 m/s in 7 s. How far does it travel in that time? Find s.

v₀ = 20 m/sv = 7 m/st = 7 s
s = m
2.Easy
t (s)v (m/s)10 s27.5

A car starts from rest and speeds up uniformly to 27.5 m/s in 10 s. Find the acceleration a.

v₀ = 0 m/sv = 27.5 m/st = 10 s
a = m/s²
3.Medium
t (s)v (m/s)0.8 s15

A driver moving at 54 km/h sees an obstacle. Her reaction time is 0.8 s, after which the car brakes with a constant deceleration of 4.5 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 54 km/htr = 0.8 sa = −4.5 m/s²
d = m
4.Medium
policea = 4 m/s²car28 m/s

A car speeding at a constant 28 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 4 m/s². How long does it take the police car to catch up? Find t.

vcar = 28 m/sapolice = 4 m/s²v0,police = 0
t = s
5.Hard
v₀ = 11 m/s25 m

A ball is thrown straight up at 11 m/s from the edge of a roof 25 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 11 m/sh₀ = 25 mg = 9.81 m/s²
hmax = m
6.Hard
v₀ = 9 m/s25 m

A ball is thrown straight up at 9 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 = 9 m/sh₀ = 25 mg = 9.81 m/s²
t = s

Answer key

  1. 1. s = 94.5 m
  2. 2. a = 2.75 m/s²
  3. 3. d = 37 m
  4. 4. t = 14 s
  5. 5. hmax = 31.17 m
  6. 6. t = 3.354 s

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