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 thrown horizontally at 15 m/s from the top of a 25 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 15 m/sh = 25 mg = 9.81 m/s²

v = m/s

2.Easy

A ball is launched horizontally from the top of a 75 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 19 m/sθ = 0°h = 75 mg = 9.81 m/s²

x = m

3.Medium

A ball is launched from level ground at 38 m/s and must land 70 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 38 m/sR = 70 mg = 9.81 m/s²

θ = °

4.Medium

A ball is launched at 45° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 12 m/sθ = 45°g = 9.81 m/s²

H = m

5.Hard

A ball is launched at 31 m/s and 65° 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 = 31 m/sθ = 65°h = 30 mg = 9.81 m/s²

H = m

6.Hard

A ball is launched at 30° above horizontal from the top of a 20 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 23 m/sθ = 30°h = 20 mg = 9.81 m/s²

x = m

Answer key

1. v = 26.75 m/s
2. x = 74.3 m
3. θ = 14.2 °
4. H = 3.67 m
5. H = 70.23 m
6. x = 69.86 m

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