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

v₀ = 17 m/sθ = 0°h = 70 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 time of flight t until the ball hits the ground.

v₀ = 22 m/sθ = 0°h = 5 mg = 9.81 m/s²

t = s

3.Medium

A ball is launched from level ground at 60° above the horizontal and lands 120 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 60°R = 120 mg = 9.81 m/s²

v₀ = m/s

4.Medium

A ball is kicked from level ground at 38 m/s and 50° above the horizontal towards a wall 116 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 38 m/sθ = 50°x = 116 mg = 9.81 m/s²

y = m

5.Hard

A ball is launched at 15° 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 = 24 m/sθ = 15°h = 40 mg = 9.81 m/s²

t = s

6.Hard

A ball is launched at 29 m/s and 50° above the horizontal from the top of a 50 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 = 50°h = 50 mg = 9.81 m/s²

α = °

Answer key

1. x = 64.22 m
2. t = 1.01 s
3. v₀ = 36.87 m/s
4. y = 27.62 m
5. t = 3.558 s
6. α = 64.11 °

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