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 = 75 m

A stone is dropped from rest from a bridge 75 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 = 75 mg = 9.81 m/s²
v = m/s
2.Easy
h = 10 m

A stone is dropped from rest from a bridge 10 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 = 10 mg = 9.81 m/s²
t = s
3.Medium
t (s)v (m/s)5.556 s16.67

A car driving at 60 km/h brakes with a constant deceleration of 3 m/s² until it stops. Find the braking distance s.

v₀ = 60 km/ha = −3 m/s²v = 0
s = m
4.Medium
t (s)v (m/s)1.3 s25

A driver moving at 90 km/h sees an obstacle. Her reaction time is 1.3 s, after which the car brakes with a constant deceleration of 4 m/s². Find the total stopping distance d from the moment she sees the obstacle.

v₀ = 90 km/htr = 1.3 sa = −4 m/s²
d = m
5.Hard
v₀ = 20 m/s40 m

A ball is thrown straight up at 20 m/s from the edge of a roof 40 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 = 20 m/sh₀ = 40 mg = 9.81 m/s²
t = s
6.Hard
v₀ = 10 m/s40 m

A ball is thrown straight up at 10 m/s from the edge of a roof 40 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 = 40 mg = 9.81 m/s²
t = s

Answer key

  1. 1. v = 38.36 m/s
  2. 2. t = 1.428 s
  3. 3. s = 46.3 m
  4. 4. d = 110.6 m
  5. 5. t = 5.547 s
  6. 6. t = 4.052 s

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