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 launched horizontally from the top of a 60 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 20 m/sθ = 0°h = 60 mg = 9.81 m/s²

x = m

2.Easy

A ball is kicked from level ground at 14 m/s and 50° 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 = 14 m/sθ = 50°g = 9.81 m/s²

t = s

3.Medium

A ball is launched from level ground at 25° above the horizontal and lands 35 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 25°R = 35 mg = 9.81 m/s²

v₀ = m/s

4.Medium

A ball is launched at 20° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 38 m/sθ = 20°g = 9.81 m/s²

H = m

5.Hard

A ball is launched at 60° above horizontal 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 = 60°h = 25 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 11 m/s and 55° above the horizontal from the top of a 20 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 11 m/sθ = 55°h = 20 mg = 9.81 m/s²

v = m/s

Answer key

1. x = 69.95 m
2. t = 1.093 s
3. v₀ = 21.17 m/s
4. H = 8.609 m
5. x = 18.86 m
6. v = 22.66 m/s

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