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 horizontal distance x travelled before the ball hits the ground.

v₀ = 15 m/sθ = 0°h = 75 mg = 9.81 m/s²

x = m

2.Easy

A ball is launched horizontally from the top of a 10 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 7 m/sθ = 0°h = 10 mg = 9.81 m/s²

x = m

3.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 = 24 m/sθ = 30°g = 9.81 m/s²

t = s

4.Medium

A ball is launched at 20° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 12 m/sθ = 20°g = 9.81 m/s²

t = s

5.Hard

A ball is thrown from ground level at 35 m/s and 55° 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 = 35 m/sθ = 55°h_roof = 3 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 30° above horizontal from the top of a 50 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 33 m/sθ = 30°h = 50 mg = 9.81 m/s²

x = m

Answer key

1. x = 58.65 m
2. x = 9.995 m
3. t = 2.446 s
4. t = 0.8367 s
5. x = 115.2 m
6. x = 151.2 m

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