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)8 s8

A train slows down uniformly from 22 m/s to 8 m/s in 8 s. How far does it travel in that time? Find s.

v₀ = 22 m/sv = 8 m/st = 8 s
s = m
2.Easy
h = 15 m

A stone is dropped from rest from a bridge 15 m above the water. Ignore air resistance and use g = 9.81 m/s². How long does it take to reach the water? Find t.

v₀ = 0h = 15 mg = 9.81 m/s²
t = s
3.Medium
t (s)v (m/s)1.667 s12.5

A car driving at 45 km/h brakes with a constant deceleration of 7.5 m/s² until it stops. Find the braking distance s.

v₀ = 45 km/ha = −7.5 m/s²v = 0
s = m
4.Medium
t (s)v (m/s)1.25 s10

A car driving at 36 km/h brakes with a constant deceleration of 8 m/s² until it stops. Find the braking distance s.

v₀ = 36 km/ha = −8 m/s²v = 0
s = m
5.Hard
d = ?

A stone is dropped from rest into a well. The splash is heard 3.2 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 = 3.2 svsound = 343 m/sg = 9.81 m/s²
d = m
6.Hard
v₀ = 10 m/s30 m

A ball is thrown straight up at 10 m/s from the edge of a roof 30 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 = 30 mg = 9.81 m/s²
hmax = m

Answer key

  1. 1. s = 120 m
  2. 2. t = 1.749 s
  3. 3. s = 10.42 m
  4. 4. s = 6.25 m
  5. 5. d = 46.1 m
  6. 6. hmax = 35.1 m

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