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

v₀ = 25 m/sθ = 0°h = 40 mg = 9.81 m/s²

x = m

2.Easy

A ball is launched horizontally from the top of a 70 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 15 m/sθ = 0°h = 70 mg = 9.81 m/s²

x = m

3.Medium

A ball is launched from level ground at 45° above the horizontal and lands 80 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 45°R = 80 mg = 9.81 m/s²

v₀ = m/s

4.Medium

A ball is launched at 30° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 20 m/sθ = 30°g = 9.81 m/s²

x = m

5.Hard

A ball is launched at 16 m/s and 45° above the horizontal from the top of a 35 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 = 16 m/sθ = 45°h = 35 mg = 9.81 m/s²

H = m

6.Hard

A ball is launched at 35° above horizontal from the top of a 60 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 32 m/sθ = 35°h = 60 mg = 9.81 m/s²

t = s

Answer key

1. x = 71.39 m
2. x = 56.67 m
3. v₀ = 28.01 m/s
4. x = 35.31 m
5. H = 41.52 m
6. t = 5.837 s

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