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 launched horizontally from the top of a 55 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 18 m/sθ = 0°h = 55 mg = 9.81 m/s²

x = m

2.Easy

A stone is thrown horizontally from the top of a 55 m high wall and lands 17 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 55 mx = 17 mg = 9.81 m/s²

v₀ = m/s

3.Medium

A ball is launched at 20° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 32 m/sθ = 20°g = 9.81 m/s²

x = m

4.Medium

A ball is launched at 20° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 28 m/sθ = 20°g = 9.81 m/s²

H = m

5.Hard

A ball is launched at 19 m/s and 35° above the horizontal from the top of a 25 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 = 19 m/sθ = 35°h = 25 mg = 9.81 m/s²

α = °

6.Hard

A ball is launched at 15 m/s and 60° above the horizontal from the top of a 25 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 = 15 m/sθ = 60°h = 25 mg = 9.81 m/s²

H = m

Answer key

1. x = 60.27 m
2. v₀ = 5.077 m/s
3. x = 67.1 m
4. H = 4.674 m
5. α = 57.77 °
6. H = 33.6 m

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