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 kicked from level ground at 20 m/s and 55° above the horizontal. Ignore air resistance and use g = 9.81 m/s². How long t after the kick does it reach its highest point?

v₀ = 20 m/sθ = 55°g = 9.81 m/s²

t = s

2.Easy

A ball is thrown horizontally at 17 m/s from the top of a 65 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 17 m/sh = 65 mg = 9.81 m/s²

v = m/s

3.Medium

A ball is kicked from level ground at 12 m/s and 35° above the horizontal towards a wall 11 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 12 m/sθ = 35°x = 11 mg = 9.81 m/s²

y = m

4.Medium

A ball is launched at 70° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 32 m/sθ = 70°g = 9.81 m/s²

t = s

5.Hard

A ball is launched at 60° 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 = 29 m/sθ = 60°h = 5 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 50° above horizontal from the top of a 25 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 16 m/sθ = 50°h = 25 mg = 9.81 m/s²

t = s

Answer key

1. t = 1.67 s
2. v = 39.55 m/s
3. y = 1.56 m
4. t = 6.131 s
5. x = 77.03 m
6. t = 3.83 s

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