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 launched horizontally from the top of a 75 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 17 m/sθ = 0°h = 75 mg = 9.81 m/s²

x = m

2.Easy

A ball is launched horizontally from the top of a 5 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 9 m/sθ = 0°h = 5 mg = 9.81 m/s²

x = m

3.Medium

A ball is launched from level ground at 12 m/s and must land 5 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 12 m/sR = 5 mg = 9.81 m/s²

θ = °

4.Medium

A ball is launched at 30° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 12 m/sθ = 30°g = 9.81 m/s²

H = m

5.Hard

A ball is launched at 10 m/s and 35° 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 = 10 m/sθ = 35°h = 35 mg = 9.81 m/s²

α = °

6.Hard

A ball is launched at 60° above horizontal from the top of a 40 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 19 m/sθ = 60°h = 40 mg = 9.81 m/s²

t = s

Answer key

1. x = 66.48 m
2. x = 9.087 m
3. θ = 9.957 °
4. H = 1.835 m
5. α = 73.02 °
6. t = 4.989 s

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