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 20 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 9 m/sθ = 0°h = 20 mg = 9.81 m/s²

t = s

2.Easy

A ball is thrown horizontally at 16 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 = 16 m/sh = 25 mg = 9.81 m/s²

v = m/s

3.Medium

A ball is launched from level ground at 32 m/s and must land 80 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 32 m/sR = 80 mg = 9.81 m/s²

θ = °

4.Medium

A ball is launched from level ground at 26 m/s and must land 55 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 26 m/sR = 55 mg = 9.81 m/s²

θ = °

5.Hard

A ball is launched at 12 m/s and 45° 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 = 12 m/sθ = 45°h = 45 mg = 9.81 m/s²

H = m

6.Hard

A ball is launched at 55° 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 = 10 m/sθ = 55°h = 60 mg = 9.81 m/s²

t = s

Answer key

1. t = 2.019 s
2. v = 27.32 m/s
3. θ = 25.02 °
4. θ = 26.48 °
5. H = 48.67 m
6. t = 4.431 s

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