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 = 65 m

A stone is dropped from rest from a bridge 65 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 = 65 mg = 9.81 m/s²
t = s
2.Easy
t (s)v (m/s)4 s26

A car moving at 16 m/s speeds up with a constant acceleration of 2.5 m/s² for 4 s. How far does it travel in that time? Find s.

v₀ = 16 m/sa = 2.5 m/s²t = 4 s
s = m
3.Medium
t (s)v (m/s)4.04 s22.22

A car driving at 80 km/h brakes with a constant deceleration of 5.5 m/s² until it stops. Find the braking distance s.

v₀ = 80 km/ha = −5.5 m/s²v = 0
s = m
4.Medium
t (s)v (m/s)3.086 s13.89

A car driving at 50 km/h brakes with a constant deceleration of 4.5 m/s² until it stops. Find the braking distance s.

v₀ = 50 km/ha = −4.5 m/s²v = 0
s = m
5.Hard
AB: 17 m/s40 m

Ball A is dropped from rest from a height of 40 m. At the same instant ball B is thrown straight up from the ground directly below at 17 m/s. Ignore air resistance and use g = 9.81 m/s². At what height y above the ground do they meet?

H = 40 mv0B = 17 m/sg = 9.81 m/s²
y = m
6.Hard
v₀ = 10 m/s20 m

A ball is thrown straight up at 10 m/s from the edge of a roof 20 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 = 10 m/sh₀ = 20 mg = 9.81 m/s²
t = s

Answer key

  1. 1. t = 3.64 s
  2. 2. s = 84 m
  3. 3. s = 44.89 m
  4. 4. s = 21.43 m
  5. 5. y = 12.84 m
  6. 6. t = 3.281 s

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