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 16 m/s from the top of a 50 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 16 m/sh = 50 mg = 9.81 m/s²

v = m/s

2.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 = 15 m/sθ = 0°h = 55 mg = 9.81 m/s²

x = m

3.Medium

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

v₀ = 32 m/sθ = 20°g = 9.81 m/s²

H = 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 = 26 m/sθ = 60°g = 9.81 m/s²

t = s

5.Hard

A ball is launched at 20° above horizontal from the top of a 55 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 28 m/sθ = 20°h = 55 mg = 9.81 m/s²

x = m

6.Hard

A ball is thrown from ground level at 27 m/s and 70° above the horizontal. It lands on the flat roof of a building 13 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 = 27 m/sθ = 70°h_roof = 13 mg = 9.81 m/s²

x = m

Answer key

1. v = 35.17 m/s
2. x = 50.23 m
3. H = 6.105 m
4. t = 4.591 s
5. x = 117.5 m
6. x = 42.44 m

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