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 40 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 17 m/sθ = 0°h = 40 mg = 9.81 m/s²

x = m

2.Easy

A ball is thrown horizontally at 11 m/s from the top of a 70 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 11 m/sh = 70 mg = 9.81 m/s²

v = m/s

3.Medium

A ball is launched at 45° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 12 m/sθ = 45°g = 9.81 m/s²

H = m

4.Medium

A ball is launched at 65° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 36 m/sθ = 65°g = 9.81 m/s²

t = s

5.Hard

A ball is launched at 22 m/s and 45° above the horizontal from the top of a 20 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/sθ = 45°h = 20 mg = 9.81 m/s²

v = m/s

6.Hard

A ball is launched at 50° above horizontal from the top of a 25 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 30 m/sθ = 50°h = 25 mg = 9.81 m/s²

x = m

Answer key

1. x = 48.55 m
2. v = 38.66 m/s
3. H = 3.67 m
4. t = 6.652 s
5. v = 29.6 m/s
6. x = 107.9 m

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