Projectile motion worksheet with answers

Free printable Projectile motion 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

A ball is thrown horizontally at 18 m/s from the top of a 15 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 18 m/sh = 15 mg = 9.81 m/s²

v = m/s

2.Easy

A stone is thrown horizontally from the top of a 10 m high wall and lands 48 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 10 mx = 48 mg = 9.81 m/s²

v₀ = m/s

3.Medium

A ball is launched at 50° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 14 m/sθ = 50°g = 9.81 m/s²

x = m

4.Medium

A ball is launched at 60° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 16 m/sθ = 60°g = 9.81 m/s²

t = s

5.Hard

A ball is launched at 31 m/s and 45° above the horizontal from the top of a 15 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the greatest height H above the ground at the foot of the cliff.

v₀ = 31 m/sθ = 45°h = 15 mg = 9.81 m/s²

H = m

6.Hard

A ball is launched at 17 m/s and 50° above the horizontal from the top of a 35 m cliff. Ignore air resistance and use g = 9.81 m/s². At what angle α below the horizontal does it hit the ground?

v₀ = 17 m/sθ = 50°h = 35 mg = 9.81 m/s²

α = °

Answer key

1. v = 24.87 m/s
2. v₀ = 33.62 m/s
3. x = 19.68 m
4. t = 2.825 s
5. H = 39.49 m
6. α = 69.52 °

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