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 20 m/s from the top of a 45 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 20 m/sh = 45 mg = 9.81 m/s²

v = m/s

2.Easy

A ball is launched horizontally from the top of a 70 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 11 m/sθ = 0°h = 70 mg = 9.81 m/s²

x = m

3.Medium

A ball is launched at 65° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 10 m/sθ = 65°g = 9.81 m/s²

H = m

4.Medium

A ball is launched at 30° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 22 m/sθ = 30°g = 9.81 m/s²

H = m

5.Hard

A ball is launched at 34 m/s and 45° 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 = 34 m/sθ = 45°h = 25 mg = 9.81 m/s²

α = °

6.Hard

A ball is thrown from ground level at 15 m/s and 70° above the horizontal. It lands on the flat roof of a building 3 m high, on its way down. Ignore air resistance and use g = 9.81 m/s². Find the horizontal distance x from the launch point to where it lands.

v₀ = 15 m/sθ = 70°h_roof = 3 mg = 9.81 m/s²

x = m

Answer key

1. v = 35.82 m/s
2. x = 41.55 m
3. H = 4.187 m
4. H = 6.167 m
5. α = 53.67 °
6. x = 13.56 m

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