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 18 m/s from the top of a 35 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 18 m/sh = 35 mg = 9.81 m/s²

v = m/s

2.Easy

A ball is launched horizontally from the top of a 15 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 9 m/sθ = 0°h = 15 mg = 9.81 m/s²

t = s

3.Medium

A ball is launched at 55° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 24 m/sθ = 55°g = 9.81 m/s²

t = s

4.Medium

A ball is launched at 70° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 16 m/sθ = 70°g = 9.81 m/s²

H = m

5.Hard

A ball is launched at 32 m/s and 15° above the horizontal from the top of a 50 m cliff. Ignore air resistance and use g = 9.81 m/s². At what angle α below the horizontal does it hit the ground?

v₀ = 32 m/sθ = 15°h = 50 mg = 9.81 m/s²

α = °

6.Hard

A ball is launched at 19 m/s and 20° above the horizontal from the top of a 45 m cliff. Ignore air resistance and use g = 9.81 m/s². At what angle α below the horizontal does it hit the ground?

v₀ = 19 m/sθ = 20°h = 45 mg = 9.81 m/s²

α = °

Answer key

1. v = 31.79 m/s
2. t = 1.749 s
3. t = 4.008 s
4. H = 11.52 m
5. α = 46.35 °
6. α = 59.59 °

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