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)16 s16

A train slows down uniformly from 28 m/s to 16 m/s in 16 s. How far does it travel in that time? Find s.

v₀ = 28 m/sv = 16 m/st = 16 s
s = m
2.Easy
t (s)v (m/s)5 s17

A car speeds up uniformly from 2 m/s to 17 m/s in 5 s. Find the acceleration a.

v₀ = 2 m/sv = 17 m/st = 5 s
a = m/s²
3.Medium
t (s)v (m/s)t = ?12.5

A car driving at 45 km/h brakes with a constant deceleration of 6 m/s² until it stops. How long does braking take? Find t.

v₀ = 45 km/ha = −6 m/s²v = 0
t = s
4.Medium
t (s)v (m/s)3.704 s27.78

A car driving at 100 km/h brakes with a constant deceleration of 7.5 m/s² until it stops. Find the braking distance s.

v₀ = 100 km/ha = −7.5 m/s²v = 0
s = m
5.Hard
v₀ = 9 m/s30 m

A ball is thrown straight up at 9 m/s from the edge of a roof 30 m above the ground. Ignore air resistance and use g = 9.81 m/s². How long after the throw does it hit the ground? Find t.

v₀ = 9 m/sh₀ = 30 mg = 9.81 m/s²
t = s
6.Hard
AB: 26 m/s25 m

Ball A is dropped from rest from a height of 25 m. At the same instant ball B is thrown straight up from the ground directly below at 26 m/s. Ignore air resistance and use g = 9.81 m/s². When do the balls meet? Find t.

H = 25 mv0B = 26 m/sg = 9.81 m/s²
t = s

Answer key

  1. 1. s = 352 m
  2. 2. a = 3 m/s²
  3. 3. t = 2.083 s
  4. 4. s = 51.44 m
  5. 5. t = 3.555 s
  6. 6. t = 0.9615 s

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