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 8 m/s from the top of a 30 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 8 m/sh = 30 mg = 9.81 m/s²

v = m/s

2.Easy

A ball is launched horizontally from the top of a 50 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 8 m/sθ = 0°h = 50 mg = 9.81 m/s²

t = s

3.Medium

A ball is kicked from level ground at 36 m/s and 35° above the horizontal towards a wall 37 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 = 35°x = 37 mg = 9.81 m/s²

y = m

4.Medium

A ball is kicked from level ground at 32 m/s and 60° above the horizontal towards a wall 27 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 32 m/sθ = 60°x = 27 mg = 9.81 m/s²

y = m

5.Hard

A ball is launched at 19 m/s and 50° above the horizontal from the top of a 55 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 19 m/sθ = 50°h = 55 mg = 9.81 m/s²

v = m/s

6.Hard

A ball is launched at 25° 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 = 16 m/sθ = 25°h = 40 mg = 9.81 m/s²

t = s

Answer key

1. v = 25.55 m/s
2. t = 3.193 s
3. y = 18.19 m
4. y = 32.8 m
5. v = 37.95 m/s
6. t = 3.627 s

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