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 10 m/s and 30° 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 = 10 m/sθ = 30°g = 9.81 m/s²

t = s

2.Easy

A stone is thrown horizontally from the top of a 35 m high wall and lands 5 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 35 mx = 5 mg = 9.81 m/s²

v₀ = m/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 = 40 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 = 30 m/sθ = 60°g = 9.81 m/s²

H = m

5.Hard

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

v₀ = 26 m/sθ = 60°h = 45 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 35 m/s and 20° above the horizontal from the top of a 60 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 = 35 m/sθ = 20°h = 60 mg = 9.81 m/s²

H = m

Answer key

1. t = 0.5097 s
2. v₀ = 1.872 m/s
3. H = 33.69 m
4. H = 34.4 m
5. x = 79.24 m
6. H = 67.3 m

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