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)9 sv = ?

A car moving at 2 m/s speeds up with a constant acceleration of 4 m/s² for 9 s. Find its final speed v.

v₀ = 2 m/sa = 4 m/s²t = 9 s
v = m/s
2.Easy
t (s)v (m/s)6 s21

A train slows down uniformly from 30 m/s to 21 m/s in 6 s. How far does it travel in that time? Find s.

v₀ = 30 m/sv = 21 m/st = 6 s
s = m
3.Medium
policea = 2 m/s²car26 m/s

A car speeding at a constant 26 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 2 m/s². How far from its starting point does the police car catch up? Find d.

vcar = 26 m/sapolice = 2 m/s²v0,police = 0
d = m
4.Medium
t (s)v (m/s)5.556 s25

A car driving at 90 km/h brakes with a constant deceleration of 4.5 m/s² until it stops. Find the braking distance s.

v₀ = 90 km/ha = −4.5 m/s²v = 0
s = m
5.Hard
AB: 25 m/s20 m

Ball A is dropped from rest from a height of 20 m. At the same instant ball B is thrown straight up from the ground directly below at 25 m/s. Ignore air resistance and use g = 9.81 m/s². When do the balls meet? Find t.

H = 20 mv0B = 25 m/sg = 9.81 m/s²
t = s
6.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 3.6 s after the stone is released. The speed of sound is 343 m/s; ignore air resistance and use g = 9.81 m/s². Find the depth d of the well.

ttotal = 3.6 svsound = 343 m/sg = 9.81 m/s²
d = m

Answer key

  1. 1. v = 38 m/s
  2. 2. s = 153 m
  3. 3. d = 676 m
  4. 4. s = 69.44 m
  5. 5. t = 0.8 s
  6. 6. d = 57.76 m

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