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
h = 70 m

A stone is dropped from rest from a bridge 70 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 = 70 mg = 9.81 m/s²
t = s
2.Easy
t (s)v (m/s)5 s1

A train slows down uniformly from 11 m/s to 1 m/s in 5 s. How far does it travel in that time? Find s.

v₀ = 11 m/sv = 1 m/st = 5 s
s = m
3.Medium
t (s)v (m/s)3.636 s20

A car driving at 72 km/h brakes with a constant deceleration of 5.5 m/s² until it stops. Find the braking distance s.

v₀ = 72 km/ha = −5.5 m/s²v = 0
s = m
4.Medium
t (s)v (m/s)t = ?13.89

A car driving at 50 km/h brakes with a constant deceleration of 4.5 m/s² until it stops. How long does braking take? Find t.

v₀ = 50 km/ha = −4.5 m/s²v = 0
t = s
5.Hard
AB: 20 m/s50 m

Ball A is dropped from rest from a height of 50 m. At the same instant ball B is thrown straight up from the ground directly below at 20 m/s. Ignore air resistance and use g = 9.81 m/s². At what height y above the ground do they meet?

H = 50 mv0B = 20 m/sg = 9.81 m/s²
y = m
6.Hard
a = 40 m/s²

A model rocket is launched straight up from rest. Its engine gives it a constant upward acceleration of 40 m/s² for 1 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 = 40 m/s²t1 = 1 sg = 9.81 m/s²
t = s

Answer key

  1. 1. t = 3.778 s
  2. 2. s = 30 m
  3. 3. s = 36.36 m
  4. 4. t = 3.086 s
  5. 5. y = 19.34 m
  6. 6. t = 9.628 s

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