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 kicked from level ground at 38 m/s and 40° above the horizontal. Ignore air resistance and use g = 9.81 m/s². How long t after the kick does it reach its highest point?

v₀ = 38 m/sθ = 40°g = 9.81 m/s²

t = s

2.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 = 11 m/sθ = 0°h = 20 mg = 9.81 m/s²

t = s

3.Medium

A ball is launched from level ground at 15° above the horizontal and lands 60 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 15°R = 60 mg = 9.81 m/s²

v₀ = m/s

4.Medium

A ball is launched from level ground at 20° above the horizontal and lands 105 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 20°R = 105 mg = 9.81 m/s²

v₀ = m/s

5.Hard

A ball is launched at 12 m/s and 55° above the horizontal from the top of a 35 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 = 12 m/sθ = 55°h = 35 mg = 9.81 m/s²

α = °

6.Hard

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

v₀ = 20 m/sθ = 55°h = 55 mg = 9.81 m/s²

t = s

Answer key

1. t = 2.49 s
2. t = 2.019 s
3. v₀ = 34.31 m/s
4. v₀ = 40.03 m/s
5. α = 76.18 °
6. t = 5.412 s

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