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 stone is thrown horizontally from the top of a 20 m high wall and lands 58 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 20 mx = 58 mg = 9.81 m/s²

v₀ = m/s

2.Easy

A ball is kicked from level ground at 12 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 = 12 m/sθ = 40°g = 9.81 m/s²

t = s

3.Medium

A ball is launched from level ground at 40° above the horizontal and lands 40 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 40°R = 40 mg = 9.81 m/s²

v₀ = m/s

4.Medium

A ball is launched from level ground at 75° above the horizontal and lands 90 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 75°R = 90 mg = 9.81 m/s²

v₀ = m/s

5.Hard

A ball is launched at 24 m/s and 65° 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 = 24 m/sθ = 65°h = 45 mg = 9.81 m/s²

H = m

6.Hard

A ball is launched at 15° above horizontal from the top of a 55 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 29 m/sθ = 15°h = 55 mg = 9.81 m/s²

x = m

Answer key

1. v₀ = 28.72 m/s
2. t = 0.7863 s
3. v₀ = 19.96 m/s
4. v₀ = 42.02 m/s
5. H = 69.11 m
6. x = 117.6 m

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