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)11 sv = ?

A car moving at 12 m/s speeds up with a constant acceleration of 2 m/s² for 11 s. Find its final speed v.

v₀ = 12 m/sa = 2 m/s²t = 11 s
v = m/s
2.Easy
t (s)v (m/s)9 s14.5

A car speeds up uniformly from 10 m/s to 14.5 m/s in 9 s. Find the acceleration a.

v₀ = 10 m/sv = 14.5 m/st = 9 s
a = m/s²
3.Medium
t (s)v (m/s)t = ?27.78

A car driving at 100 km/h brakes with a constant deceleration of 3.5 m/s² until it stops. How long does braking take? Find t.

v₀ = 100 km/ha = −3.5 m/s²v = 0
t = s
4.Medium
policea = 4 m/s²car23 m/s

A car speeding at a constant 23 m/s passes a police car standing still. At that moment the police car starts and accelerates uniformly at 4 m/s². How far from its starting point does the police car catch up? Find d.

vcar = 23 m/sapolice = 4 m/s²v0,police = 0
d = m
5.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 3.8 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 = 3.8 svsound = 343 m/sg = 9.81 m/s²
d = m
6.Hard
AB: 15 m/s30 m

Ball A is dropped from rest from a height of 30 m. At the same instant ball B is thrown straight up from the ground directly below at 15 m/s. Ignore air resistance and use g = 9.81 m/s². When do the balls meet? Find t.

H = 30 mv0B = 15 m/sg = 9.81 m/s²
t = s

Answer key

  1. 1. v = 34 m/s
  2. 2. a = 0.5 m/s²
  3. 3. t = 7.937 s
  4. 4. d = 264.5 m
  5. 5. d = 64.04 m
  6. 6. t = 2 s

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