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 s30

A car moving at 14 m/s speeds up with a constant acceleration of 2 m/s² for 8 s. How far does it travel in that time? Find s.

v₀ = 14 m/sa = 2 m/s²t = 8 s
s = m
2.Easy
h = 60 m

A stone is dropped from rest from a bridge 60 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 = 60 mg = 9.81 m/s²
t = s
3.Medium
t (s)v (m/s)t = ?13.89

A car driving at 50 km/h brakes with a constant deceleration of 6.5 m/s² until it stops. How long does braking take? Find t.

v₀ = 50 km/ha = −6.5 m/s²v = 0
t = s
4.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
5.Hard
a = 30 m/s²

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 30 m/s² for 1.5 s, after which the engine stops and the rocket moves freely. Ignore air resistance and use g = 9.81 m/s². How long after launch does it hit the ground? Find t.

a = 30 m/s²t1 = 1.5 sg = 9.81 m/s²
t = s
6.Hard
AB: 29 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 29 m/s. Ignore air resistance and use g = 9.81 m/s². When do the balls meet? Find t.

H = 25 mv0B = 29 m/sg = 9.81 m/s²
t = s

Answer key

  1. 1. s = 176 m
  2. 2. t = 3.497 s
  3. 3. t = 2.137 s
  4. 4. s = 10.42 m
  5. 5. t = 11.37 s
  6. 6. t = 0.8621 s

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