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 thrown horizontally at 5 m/s from the top of a 35 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 5 m/sh = 35 mg = 9.81 m/s²

v = m/s

2.Easy

A ball is launched horizontally from the top of a 60 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 9 m/sθ = 0°h = 60 mg = 9.81 m/s²

x = m

3.Medium

A ball is launched at 45° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 34 m/sθ = 45°g = 9.81 m/s²

x = m

4.Medium

A ball is kicked from level ground at 16 m/s and 70° above the horizontal towards a wall 5 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 16 m/sθ = 70°x = 5 mg = 9.81 m/s²

y = m

5.Hard

A ball is launched at 17 m/s and 60° above the horizontal from the top of a 40 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 17 m/sθ = 60°h = 40 mg = 9.81 m/s²

v = m/s

6.Hard

A ball is launched at 28 m/s and 30° 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 = 28 m/sθ = 30°h = 45 mg = 9.81 m/s²

H = m

Answer key

1. v = 26.68 m/s
2. x = 31.48 m
3. x = 117.8 m
4. y = 9.643 m
5. v = 32.77 m/s
6. H = 54.99 m

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