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 24 m/s and 20° 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 = 24 m/sθ = 20°g = 9.81 m/s²

t = s

2.Easy

A ball is launched horizontally from the top of a 55 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 19 m/sθ = 0°h = 55 mg = 9.81 m/s²

x = m

3.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 = 14 m/sθ = 45°g = 9.81 m/s²

x = m

4.Medium

A ball is launched at 55° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 24 m/sθ = 55°g = 9.81 m/s²

t = s

5.Hard

A ball is thrown from ground level at 36 m/s and 60° above the horizontal. It lands on the flat roof of a building 27 m high, on its way down. Ignore air resistance and use g = 9.81 m/s². Find the horizontal distance x from the launch point to where it lands.

v₀ = 36 m/sθ = 60°h_roof = 27 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 40° above horizontal from the top of a 35 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 10 m/sθ = 40°h = 35 mg = 9.81 m/s²

x = m

Answer key

1. t = 0.8367 s
2. x = 63.62 m
3. x = 19.98 m
4. t = 4.008 s
5. x = 95.79 m
6. x = 26.09 m

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