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 75 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 14 m/sθ = 0°h = 75 mg = 9.81 m/s²

t = s

2.Easy

A ball is thrown horizontally at 22 m/s from the top of a 40 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 22 m/sh = 40 mg = 9.81 m/s²

v = m/s

3.Medium

A ball is launched at 35° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 24 m/sθ = 35°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 time of flight t until the ball hits the ground.

v₀ = 20 m/sθ = 30°g = 9.81 m/s²

t = s

5.Hard

A ball is thrown from ground level at 29 m/s and 30° above the horizontal. It lands on the flat roof of a building 2 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 = 29 m/sθ = 30°h_roof = 2 mg = 9.81 m/s²

x = m

6.Hard

A ball is thrown from ground level at 40 m/s and 55° above the horizontal. It lands on the flat roof of a building 20 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 = 40 m/sθ = 55°h_roof = 20 mg = 9.81 m/s²

x = m

Answer key

1. t = 3.91 s
2. v = 35.62 m/s
3. H = 9.658 m
4. t = 2.039 s
5. x = 70.6 m
6. x = 137.7 m

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