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 20 m/s from the top of a 50 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 20 m/sh = 50 mg = 9.81 m/s²

v = m/s

2.Easy

A ball is launched horizontally from the top of a 65 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 14 m/sθ = 0°h = 65 mg = 9.81 m/s²

t = s

3.Medium

A ball is launched at 45° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 14 m/sθ = 45°g = 9.81 m/s²

t = s

4.Medium

A ball is kicked from level ground at 36 m/s and 60° above the horizontal towards a wall 69 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 36 m/sθ = 60°x = 69 mg = 9.81 m/s²

y = m

5.Hard

A ball is launched at 50° above horizontal from the top of a 10 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 11 m/sθ = 50°h = 10 mg = 9.81 m/s²

t = s

6.Hard

A ball is launched at 29 m/s and 30° above the horizontal from the top of a 50 m cliff. Ignore air resistance and use g = 9.81 m/s². At what angle α below the horizontal does it hit the ground?

v₀ = 29 m/sθ = 30°h = 50 mg = 9.81 m/s²

α = °

Answer key

1. v = 37.16 m/s
2. t = 3.64 s
3. t = 2.018 s
4. y = 47.44 m
5. t = 2.525 s
6. α = 53.96 °

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