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 23 m/s from the top of an 80 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 23 m/sh = 80 mg = 9.81 m/s²

v = m/s

2.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 = 16 m/sθ = 0°h = 75 mg = 9.81 m/s²

x = m

3.Medium

A ball is launched at 60° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 18 m/sθ = 60°g = 9.81 m/s²

x = m

4.Medium

A ball is launched from level ground at 30 m/s and must land 55 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 30 m/sR = 55 mg = 9.81 m/s²

θ = °

5.Hard

A ball is launched at 30° above horizontal from the top of a 5 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 33 m/sθ = 30°h = 5 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 40° above horizontal from the top of a 5 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 34 m/sθ = 40°h = 5 mg = 9.81 m/s²

x = m

Answer key

1. v = 45.81 m/s
2. x = 62.56 m
3. x = 28.6 m
4. θ = 18.42 °
5. x = 104.1 m
6. x = 121.7 m

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