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 s21

A car moving at 12 m/s speeds up with a constant acceleration of 1.5 m/s² for 6 s. How far does it travel in that time? Find s.

v₀ = 12 m/sa = 1.5 m/s²t = 6 s
s = m
2.Easy
t (s)v (m/s)3 sv = ?

A car moving at 14 m/s speeds up with a constant acceleration of 2.5 m/s² for 3 s. Find its final speed v.

v₀ = 14 m/sa = 2.5 m/s²t = 3 s
v = m/s
3.Medium
t (s)v (m/s)t = ?12.5

A car driving at 45 km/h brakes with a constant deceleration of 3.5 m/s² until it stops. How long does braking take? Find t.

v₀ = 45 km/ha = −3.5 m/s²v = 0
t = s
4.Medium
policea = 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 m/s². How long does it take the police car to catch up? Find t.

vcar = 21 m/sapolice = 5 m/s²v0,police = 0
t = s
5.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 2.5 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 = 2.5 svsound = 343 m/sg = 9.81 m/s²
d = m
6.Hard
v₀ = 12 m/s25 m

A ball is thrown straight up at 12 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 = 12 m/sh₀ = 25 mg = 9.81 m/s²
hmax = m

Answer key

  1. 1. s = 99 m
  2. 2. v = 21.5 m/s
  3. 3. t = 3.571 s
  4. 4. t = 8.4 s
  5. 5. d = 28.64 m
  6. 6. hmax = 32.34 m

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