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)5 sv = ?

A car moving at 10 m/s speeds up with a constant acceleration of 3 m/s² for 5 s. Find its final speed v.

v₀ = 10 m/sa = 3 m/s²t = 5 s
v = m/s
2.Easy
t (s)v (m/s)17 s0

A train slows down uniformly from 24 m/s to a stop in 17 s. How far does it travel in that time? Find s.

v₀ = 24 m/sv = 0 m/st = 17 s
s = m
3.Medium
t (s)v (m/s)t = ?15

A car driving at 54 km/h brakes with a constant deceleration of 5 m/s² until it stops. How long does braking take? Find t.

v₀ = 54 km/ha = −5 m/s²v = 0
t = s
4.Medium
t (s)v (m/s)2.5 s10

A car driving at 36 km/h brakes with a constant deceleration of 4 m/s² until it stops. Find the braking distance s.

v₀ = 36 km/ha = −4 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 = 8 m/s5 m

A ball is thrown straight up at 8 m/s from the edge of a roof 5 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 8 m/sh₀ = 5 mg = 9.81 m/s²
hmax = m

Answer key

  1. 1. v = 25 m/s
  2. 2. s = 204 m
  3. 3. t = 3 s
  4. 4. s = 12.5 m
  5. 5. d = 46.1 m
  6. 6. hmax = 8.262 m

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