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 18 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 = 18 m/sh = 80 mg = 9.81 m/s²

v = m/s

2.Easy

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

v₀ = 11 m/sθ = 0°h = 25 mg = 9.81 m/s²

x = m

3.Medium

A ball is launched from level ground at 45° above the horizontal and lands 20 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 45°R = 20 mg = 9.81 m/s²

v₀ = m/s

4.Medium

A ball is launched at 40° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 36 m/sθ = 40°g = 9.81 m/s²

x = m

5.Hard

A ball is launched at 23 m/s and 35° above the horizontal from the top of a 10 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/sθ = 35°h = 10 mg = 9.81 m/s²

v = m/s

6.Hard

A ball is launched at 35° above horizontal from the top of a 40 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 32 m/sθ = 35°h = 40 mg = 9.81 m/s²

t = s

Answer key

1. v = 43.52 m/s
2. x = 24.83 m
3. v₀ = 14.01 m/s
4. x = 130.1 m
5. v = 26.93 m/s
6. t = 5.285 s

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