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)6 s7

A car speeds up uniformly from 4 m/s to 7 m/s in 6 s. Find the acceleration a.

v₀ = 4 m/sv = 7 m/st = 6 s
a = m/s²
2.Easy
t (s)v (m/s)9 s35

A car speeds up uniformly from 8 m/s to 35 m/s in 9 s. Find the acceleration a.

v₀ = 8 m/sv = 35 m/st = 9 s
a = m/s²
3.Medium
policea = 3.5 m/s²car35 m/s

A car speeding at a constant 35 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 3.5 m/s². How far from its starting point does the police car catch up? Find d.

vcar = 35 m/sapolice = 3.5 m/s²v0,police = 0
d = m
4.Medium
t (s)v (m/s)6.944 s27.78

A car driving at 100 km/h brakes with a constant deceleration of 4 m/s² until it stops. Find the braking distance s.

v₀ = 100 km/ha = −4 m/s²v = 0
s = m
5.Hard
AB: 21 m/s40 m

Ball A is dropped from rest from a height of 40 m. At the same instant ball B is thrown straight up from the ground directly below at 21 m/s. Ignore air resistance and use g = 9.81 m/s². When do the balls meet? Find t.

H = 40 mv0B = 21 m/sg = 9.81 m/s²
t = s
6.Hard
v₀ = 10 m/s20 m

A ball is thrown straight up at 10 m/s from the edge of a roof 20 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 10 m/sh₀ = 20 mg = 9.81 m/s²
hmax = m

Answer key

  1. 1. a = 0.5 m/s²
  2. 2. a = 3 m/s²
  3. 3. d = 700 m
  4. 4. s = 96.45 m
  5. 5. t = 1.905 s
  6. 6. hmax = 25.1 m

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