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

v₀ = 13 m/sθ = 0°h = 45 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 = 24 m/sθ = 0°h = 5 mg = 9.81 m/s²

x = m

3.Medium

A ball is launched at 20° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 20 m/sθ = 20°g = 9.81 m/s²

H = m

4.Medium

A ball is launched from level ground at 15° above the horizontal and lands 30 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 15°R = 30 mg = 9.81 m/s²

v₀ = m/s

5.Hard

A ball is launched at 25 m/s and 25° 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 = 25 m/sθ = 25°h = 5 mg = 9.81 m/s²

α = °

6.Hard

A ball is launched at 33 m/s and 70° above the horizontal from the top of a 35 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the greatest height H above the ground at the foot of the cliff.

v₀ = 33 m/sθ = 70°h = 35 mg = 9.81 m/s²

H = m

Answer key

1. x = 39.38 m
2. x = 24.23 m
3. H = 2.385 m
4. v₀ = 24.26 m/s
5. α = 32.59 °
6. H = 84.01 m

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