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 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 = 12 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 = 20 m/sθ = 0°h = 20 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 maximum height H the ball reaches.

v₀ = 20 m/sθ = 45°g = 9.81 m/s²

H = m

4.Medium

A ball is kicked from level ground at 30 m/s and 55° above the horizontal towards a wall 34 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 30 m/sθ = 55°x = 34 mg = 9.81 m/s²

y = m

5.Hard

A ball is launched at 22 m/s and 40° above the horizontal from the top of a 40 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 = 22 m/sθ = 40°h = 40 mg = 9.81 m/s²

α = °

6.Hard

A ball is launched at 55° above horizontal from the top of a 20 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 10 m/sθ = 55°h = 20 mg = 9.81 m/s²

t = s

Answer key

1. t = 0.7863 s
2. t = 2.019 s
3. H = 10.19 m
4. y = 29.41 m
5. α = 61.76 °
6. t = 3.02 s

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