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

v₀ = 16 m/sθ = 0°h = 5 mg = 9.81 m/s²

x = m

2.Easy

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

v₀ = 10 m/sθ = 0°h = 60 mg = 9.81 m/s²

x = m

3.Medium

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

v₀ = 24 m/sθ = 60°g = 9.81 m/s²

H = m

4.Medium

A ball is launched at 50° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 12 m/sθ = 50°g = 9.81 m/s²

t = s

5.Hard

A ball is launched at 14 m/s and 25° above the horizontal from the top of a 55 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 = 14 m/sθ = 25°h = 55 mg = 9.81 m/s²

H = m

6.Hard

A ball is launched at 18 m/s and 70° above the horizontal from the top of a 5 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 = 18 m/sθ = 70°h = 5 mg = 9.81 m/s²

H = m

Answer key

1. x = 16.15 m
2. x = 34.97 m
3. H = 22.02 m
4. t = 1.874 s
5. H = 56.78 m
6. H = 19.58 m

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