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 28 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 = 28 m/sθ = 20°g = 9.81 m/s²

t = s

2.Easy

A ball is thrown horizontally at 12 m/s from the top of a 50 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 12 m/sh = 50 mg = 9.81 m/s²

v = m/s

3.Medium

A ball is launched from level ground at 24 m/s and must land 25 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 24 m/sR = 25 mg = 9.81 m/s²

θ = °

4.Medium

A ball is launched at 45° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 38 m/sθ = 45°g = 9.81 m/s²

t = s

5.Hard

A ball is launched at 40° above horizontal from the top of a 45 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 25 m/sθ = 40°h = 45 mg = 9.81 m/s²

t = s

6.Hard

A ball is launched at 45° above horizontal from the top of a 60 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 13 m/sθ = 45°h = 60 mg = 9.81 m/s²

x = m

Answer key

1. t = 0.9762 s
2. v = 33.54 m/s
3. θ = 12.6 °
4. t = 5.478 s
5. t = 5.082 s
6. x = 41.9 m

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