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 20 m/s and 70° 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 = 70°g = 9.81 m/s²

t = s

2.Easy

A ball is thrown horizontally at 23 m/s from the top of a 50 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 23 m/sh = 50 mg = 9.81 m/s²

v = m/s

3.Medium

A ball is launched at 40° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 26 m/sθ = 40°g = 9.81 m/s²

t = s

4.Medium

A ball is launched from level ground at 26 m/s and must land 60 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 26 m/sR = 60 mg = 9.81 m/s²

θ = °

5.Hard

A ball is launched at 30° above horizontal from the top of a 15 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 11 m/sθ = 30°h = 15 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 23 m/s and 35° above the horizontal from the top of a 30 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 = 23 m/sθ = 35°h = 30 mg = 9.81 m/s²

H = m

Answer key

1. t = 1.916 s
2. v = 38.86 m/s
3. t = 3.407 s
4. θ = 30.27 °
5. x = 22.84 m
6. H = 38.87 m

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