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 a 5 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 = 5 mg = 9.81 m/s²

v = m/s

2.Easy

A ball is kicked from level ground at 22 m/s and 65° 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 = 22 m/sθ = 65°g = 9.81 m/s²

t = s

3.Medium

A ball is kicked from level ground at 18 m/s and 25° above the horizontal towards a wall 18 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 18 m/sθ = 25°x = 18 mg = 9.81 m/s²

y = m

4.Medium

A ball is kicked from level ground at 32 m/s and 65° above the horizontal towards a wall 24 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 = 65°x = 24 mg = 9.81 m/s²

y = m

5.Hard

A ball is launched at 55° above horizontal from the top of a 60 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 31 m/sθ = 55°h = 60 mg = 9.81 m/s²

t = s

6.Hard

A ball is launched at 30° above horizontal from the top of a 30 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 20 m/sθ = 30°h = 30 mg = 9.81 m/s²

t = s

Answer key

1. v = 20.55 m/s
2. t = 2.032 s
3. y = 2.422 m
4. y = 36.02 m
5. t = 6.94 s
6. t = 3.694 s

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