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
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
2.Easy
t (s)v (m/s)5 s15

A car moving at 10 m/s speeds up with a constant acceleration of 1 m/s² for 5 s. How far does it travel in that time? Find s.

v₀ = 10 m/sa = 1 m/s²t = 5 s
s = m
3.Medium
t (s)v (m/s)3.704 s16.67

A car driving at 60 km/h brakes with a constant deceleration of 4.5 m/s² until it stops. Find the braking distance s.

v₀ = 60 km/ha = −4.5 m/s²v = 0
s = m
4.Medium
t (s)v (m/s)6.349 s22.22

A car driving at 80 km/h brakes with a constant deceleration of 3.5 m/s² until it stops. Find the braking distance s.

v₀ = 80 km/ha = −3.5 m/s²v = 0
s = m
5.Hard
v₀ = 16 m/s10 m

A ball is thrown straight up at 16 m/s from the edge of a roof 10 m above the ground. Ignore air resistance and use g = 9.81 m/s². Find the greatest height hmax above the ground.

v₀ = 16 m/sh₀ = 10 mg = 9.81 m/s²
hmax = m
6.Hard
AB: 22 m/s55 m

Ball A is dropped from rest from a height of 55 m. At the same instant ball B is thrown straight up from the ground directly below at 22 m/s. Ignore air resistance and use g = 9.81 m/s². When do the balls meet? Find t.

H = 55 mv0B = 22 m/sg = 9.81 m/s²
t = s

Answer key

  1. 1. v = 28.01 m/s
  2. 2. s = 62.5 m
  3. 3. s = 30.86 m
  4. 4. s = 70.55 m
  5. 5. hmax = 23.05 m
  6. 6. t = 2.5 s

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