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 = 22 m/sθ = 0°h = 70 mg = 9.81 m/s²

x = m

2.Easy

A ball is thrown horizontally at 21 m/s from the top of a 15 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 21 m/sh = 15 mg = 9.81 m/s²

v = m/s

3.Medium

A ball is launched at 65° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 36 m/sθ = 65°g = 9.81 m/s²

x = m

4.Medium

A ball is launched at 55° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 20 m/sθ = 55°g = 9.81 m/s²

t = s

5.Hard

A ball is launched at 16 m/s and 20° above the horizontal from the top of a 35 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 = 16 m/sθ = 20°h = 35 mg = 9.81 m/s²

α = °

6.Hard

A ball is launched at 30 m/s and 55° above the horizontal from the top of a 45 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 = 30 m/sθ = 55°h = 45 mg = 9.81 m/s²

H = m

Answer key

1. x = 83.11 m
2. v = 27.12 m/s
3. x = 101.2 m
4. t = 3.34 s
5. α = 60.68 °
6. H = 75.78 m

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