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 8 m/s from the top of a 45 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 8 m/sh = 45 mg = 9.81 m/s²

v = m/s

2.Easy

A ball is kicked from level ground at 24 m/s and 45° 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 = 45°g = 9.81 m/s²

t = s

3.Medium

A ball is launched from level ground at 10 m/s and must land 5 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 10 m/sR = 5 mg = 9.81 m/s²

θ = °

4.Medium

A ball is launched at 30° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 26 m/sθ = 30°g = 9.81 m/s²

H = m

5.Hard

A ball is launched at 25° above horizontal from the top of a 5 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 22 m/sθ = 25°h = 5 mg = 9.81 m/s²

t = s

6.Hard

A ball is launched at 27 m/s and 30° above the horizontal from the top of a 45 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the greatest height H above the ground at the foot of the cliff.

v₀ = 27 m/sθ = 30°h = 45 mg = 9.81 m/s²

H = m

Answer key

1. v = 30.77 m/s
2. t = 1.73 s
3. θ = 14.69 °
4. H = 8.614 m
5. t = 2.333 s
6. H = 54.29 m

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