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 34 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 = 34 m/sθ = 50°g = 9.81 m/s²

t = s

2.Easy

A ball is thrown horizontally at 25 m/s from the top of a 60 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 25 m/sh = 60 mg = 9.81 m/s²

v = m/s

3.Medium

A ball is launched at 25° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 20 m/sθ = 25°g = 9.81 m/s²

H = m

4.Medium

A ball is launched at 45° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 26 m/sθ = 45°g = 9.81 m/s²

x = m

5.Hard

A ball is launched at 15° 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 = 20 m/sθ = 15°h = 25 mg = 9.81 m/s²

t = s

6.Hard

A ball is launched at 22 m/s and 25° above the horizontal from the top of a 5 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 = 22 m/sθ = 25°h = 5 mg = 9.81 m/s²

α = °

Answer key

1. t = 2.655 s
2. v = 42.45 m/s
3. H = 3.641 m
4. x = 68.91 m
5. t = 2.846 s
6. α = 34.27 °

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