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 28 m/s and 35° 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 = 28 m/sθ = 35°g = 9.81 m/s²

t = s

2.Easy

A stone is thrown horizontally from the top of a 20 m high wall and lands 22 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 20 mx = 22 mg = 9.81 m/s²

v₀ = m/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 = 22 m/sθ = 55°g = 9.81 m/s²

t = s

4.Medium

A ball is launched from level ground at 75° above the horizontal and lands 130 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 75°R = 130 mg = 9.81 m/s²

v₀ = m/s

5.Hard

A ball is launched at 14 m/s and 55° above the horizontal from the top of a 15 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 = 14 m/sθ = 55°h = 15 mg = 9.81 m/s²

H = m

6.Hard

A ball is launched at 13 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 = 13 m/sθ = 55°h = 20 mg = 9.81 m/s²

α = °

Answer key

1. t = 1.637 s
2. v₀ = 10.89 m/s
3. t = 3.674 s
4. v₀ = 50.5 m/s
5. H = 21.7 m
6. α = 71.66 °

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