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 12 m/s and 30° 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 = 12 m/sθ = 30°g = 9.81 m/s²

t = s

2.Easy

A ball is launched horizontally from the top of a 40 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 6 m/sθ = 0°h = 40 mg = 9.81 m/s²

t = s

3.Medium

A ball is launched at 45° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 28 m/sθ = 45°g = 9.81 m/s²

t = s

4.Medium

A ball is launched at 40° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 18 m/sθ = 40°g = 9.81 m/s²

t = s

5.Hard

A ball is launched at 29 m/s and 55° above the horizontal from the top of a 20 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 = 29 m/sθ = 55°h = 20 mg = 9.81 m/s²

α = °

6.Hard

A ball is launched at 19 m/s and 70° above the horizontal from the top of a 10 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 = 19 m/sθ = 70°h = 10 mg = 9.81 m/s²

H = m

Answer key

1. t = 0.6116 s
2. t = 2.856 s
3. t = 4.036 s
4. t = 2.359 s
5. α = 61.73 °
6. H = 26.25 m

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