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 = 10 m/sθ = 0°h = 70 mg = 9.81 m/s²

x = m

2.Easy

A ball is kicked from level ground at 20 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 = 20 m/sθ = 35°g = 9.81 m/s²

t = s

3.Medium

A ball is launched from level ground at 15° above the horizontal and lands 40 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 15°R = 40 mg = 9.81 m/s²

v₀ = m/s

4.Medium

A ball is launched at 25° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 24 m/sθ = 25°g = 9.81 m/s²

H = m

5.Hard

A ball is launched at 40° above horizontal from the top of a 55 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 21 m/sθ = 40°h = 55 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 32 m/s and 35° above the horizontal from the top of a 5 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 = 32 m/sθ = 35°h = 5 mg = 9.81 m/s²

α = °

Answer key

1. x = 37.78 m
2. t = 1.169 s
3. v₀ = 28.01 m/s
4. H = 5.243 m
5. x = 80.37 m
6. α = 38.51 °

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