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 25 m/s from the top of a 30 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 25 m/sh = 30 mg = 9.81 m/s²

v = m/s

2.Easy

A ball is launched horizontally from the top of a 30 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 22 m/sθ = 0°h = 30 mg = 9.81 m/s²

x = m

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 = 24 m/sθ = 50°g = 9.81 m/s²

x = m

4.Medium

A ball is launched at 50° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 16 m/sθ = 50°g = 9.81 m/s²

H = m

5.Hard

A ball is thrown from ground level at 31 m/s and 45° above the horizontal. It lands on the flat roof of a building 16 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 = 31 m/sθ = 45°h_roof = 16 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 50° above horizontal from the top of a 60 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 10 m/sθ = 50°h = 60 mg = 9.81 m/s²

t = s

Answer key

1. v = 34.84 m/s
2. x = 54.41 m
3. x = 57.82 m
4. H = 7.657 m
5. x = 77.82 m
6. t = 4.364 s

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