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 40 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 8 m/sθ = 0°h = 40 mg = 9.81 m/s²

x = m

2.Easy

A ball is launched horizontally from the top of an 80 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 5 m/sθ = 0°h = 80 mg = 9.81 m/s²

x = m

3.Medium

A ball is launched from level ground at 30° above the horizontal and lands 145 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 30°R = 145 mg = 9.81 m/s²

v₀ = m/s

4.Medium

A ball is launched at 50° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 22 m/sθ = 50°g = 9.81 m/s²

x = m

5.Hard

A ball is launched at 30 m/s and 50° above the horizontal from the top of a 60 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 = 30 m/sθ = 50°h = 60 mg = 9.81 m/s²

α = °

6.Hard

A ball is launched at 55° above horizontal from the top of a 25 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 13 m/sθ = 55°h = 25 mg = 9.81 m/s²

t = s

Answer key

1. x = 22.85 m
2. x = 20.19 m
3. v₀ = 40.53 m/s
4. x = 48.59 m
5. α = 64.97 °
6. t = 3.591 s

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