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 kicked from level ground at 34 m/s and 50° 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 = 34 m/sθ = 50°g = 9.81 m/s²

t = s

2.Easy

A ball is thrown horizontally at 15 m/s 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 = 15 m/sh = 40 mg = 9.81 m/s²

v = m/s

3.Medium

A ball is kicked from level ground at 38 m/s and 50° above the horizontal towards a wall 101 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 38 m/sθ = 50°x = 101 mg = 9.81 m/s²

y = m

4.Medium

A ball is launched at 65° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 10 m/sθ = 65°g = 9.81 m/s²

H = m

5.Hard

A ball is launched at 18 m/s and 45° above the horizontal from the top of a 25 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 = 18 m/sθ = 45°h = 25 mg = 9.81 m/s²

H = m

6.Hard

A ball is launched at 55° above horizontal from the top of a 10 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 29 m/sθ = 55°h = 10 mg = 9.81 m/s²

x = m

Answer key

1. t = 2.655 s
2. v = 31.78 m/s
3. y = 36.5 m
4. H = 4.187 m
5. H = 33.26 m
6. x = 87.04 m

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