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 12 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 = 12 m/sθ = 50°g = 9.81 m/s²

t = s

2.Easy

A ball is kicked from level ground at 32 m/s and 20° 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 = 32 m/sθ = 20°g = 9.81 m/s²

t = s

3.Medium

A ball is launched from level ground at 26 m/s and must land 65 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 = 65 mg = 9.81 m/s²

θ = °

4.Medium

A ball is launched from level ground at 24 m/s and must land 40 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 24 m/sR = 40 mg = 9.81 m/s²

θ = °

5.Hard

A ball is launched at 30 m/s and 25° above the horizontal from the top of a 20 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 30 m/sθ = 25°h = 20 mg = 9.81 m/s²

v = m/s

6.Hard

A ball is launched at 26 m/s and 30° 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 = 26 m/sθ = 30°h = 30 mg = 9.81 m/s²

H = m

Answer key

1. t = 0.9371 s
2. t = 1.116 s
3. θ = 35.3 °
4. θ = 21.47 °
5. v = 35.95 m/s
6. H = 38.61 m

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