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 25 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 24 m/sθ = 0°h = 25 mg = 9.81 m/s²

x = m

2.Easy

A ball is kicked from level ground at 30 m/s and 40° 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 = 30 m/sθ = 40°g = 9.81 m/s²

t = s

3.Medium

A ball is launched at 40° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 34 m/sθ = 40°g = 9.81 m/s²

H = m

4.Medium

A ball is launched at 60° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 18 m/sθ = 60°g = 9.81 m/s²

H = m

5.Hard

A ball is thrown from ground level at 39 m/s and 70° above the horizontal. It lands on the flat roof of a building 8 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 = 39 m/sθ = 70°h_roof = 8 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 15 m/s and 60° above the horizontal from the top of a 25 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 = 15 m/sθ = 60°h = 25 mg = 9.81 m/s²

H = m

Answer key

1. x = 54.18 m
2. t = 1.966 s
3. H = 24.34 m
4. H = 12.39 m
5. x = 96.66 m
6. H = 33.6 m

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