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

v₀ = 20 m/sθ = 0°h = 50 mg = 9.81 m/s²

x = m

2.Easy

A ball is kicked from level ground at 26 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 = 26 m/sθ = 40°g = 9.81 m/s²

t = s

3.Medium

A ball is launched at 50° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 38 m/sθ = 50°g = 9.81 m/s²

H = m

4.Medium

A ball is launched from level ground at 65° above the horizontal and lands 65 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 65°R = 65 mg = 9.81 m/s²

v₀ = m/s

5.Hard

A ball is launched at 32 m/s and 50° above the horizontal from the top of a 30 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 = 32 m/sθ = 50°h = 30 mg = 9.81 m/s²

H = m

6.Hard

A ball is launched at 60° above horizontal from the top of a 15 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 24 m/sθ = 60°h = 15 mg = 9.81 m/s²

t = s

Answer key

1. x = 63.86 m
2. t = 1.704 s
3. H = 43.19 m
4. v₀ = 28.85 m/s
5. H = 60.63 m
6. t = 4.866 s

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