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 65 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 15 m/sθ = 0°h = 65 mg = 9.81 m/s²

t = s

2.Easy

A ball is launched horizontally from the top of a 30 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 24 m/sθ = 0°h = 30 mg = 9.81 m/s²

x = m

3.Medium

A ball is launched at 50° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 20 m/sθ = 50°g = 9.81 m/s²

H = m

4.Medium

A ball is kicked from level ground at 20 m/s and 60° above the horizontal towards a wall 7 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 20 m/sθ = 60°x = 7 mg = 9.81 m/s²

y = m

5.Hard

A ball is launched at 30 m/s and 25° above the horizontal from the top of a 25 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 = 25°h = 25 mg = 9.81 m/s²

α = °

6.Hard

A ball is launched at 40° above horizontal from the top of a 35 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 23 m/sθ = 40°h = 35 mg = 9.81 m/s²

x = m

Answer key

1. t = 3.64 s
2. x = 59.35 m
3. H = 11.96 m
4. y = 9.721 m
5. α = 43.19 °
6. x = 80.59 m

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