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)6 s22.5

A car speeds up uniformly from 12 m/s to 22.5 m/s in 6 s. Find the acceleration a.

v₀ = 12 m/sv = 22.5 m/st = 6 s
a = m/s²
2.Easy
v = ?h = 40 m

A stone is dropped from rest from a bridge 40 m above the water. Ignore air resistance and use g = 9.81 m/s². Find its speed v just before it hits the water.

v₀ = 0h = 40 mg = 9.81 m/s²
v = m/s
3.Medium
t (s)v (m/s)1.786 s12.5

A car driving at 45 km/h brakes with a constant deceleration of 7 m/s² until it stops. Find the braking distance s.

v₀ = 45 km/ha = −7 m/s²v = 0
s = m
4.Medium
t (s)v (m/s)t = ?22.22

A car driving at 80 km/h brakes with a constant deceleration of 8 m/s² until it stops. How long does braking take? Find t.

v₀ = 80 km/ha = −8 m/s²v = 0
t = s
5.Hard
v₀ = 13 m/s30 m

A ball is thrown straight up at 13 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 = 13 m/sh₀ = 30 mg = 9.81 m/s²
t = s
6.Hard
AB: 29 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 29 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 = 29 m/sg = 9.81 m/s²
y = m

Answer key

  1. 1. a = 1.75 m/s²
  2. 2. v = 28.01 m/s
  3. 3. s = 11.16 m
  4. 4. t = 2.778 s
  5. 5. t = 4.131 s
  6. 6. y = 30.67 m

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