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 an 80 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 21 m/sθ = 0°h = 80 mg = 9.81 m/s²

x = m

2.Easy

A ball is kicked from level ground at 28 m/s and 40° 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 = 28 m/sθ = 40°g = 9.81 m/s²

t = s

3.Medium

A ball is launched at 70° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 20 m/sθ = 70°g = 9.81 m/s²

H = m

4.Medium

A ball is launched from level ground at 20 m/s and must land 25 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 20 m/sR = 25 mg = 9.81 m/s²

θ = °

5.Hard

A ball is launched at 28 m/s and 45° above the horizontal from the top of a 5 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 = 45°h = 5 mg = 9.81 m/s²

H = m

6.Hard

A ball is launched at 35° above horizontal from the top of a 50 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 25 m/sθ = 35°h = 50 mg = 9.81 m/s²

x = m

Answer key

1. x = 84.81 m
2. t = 1.835 s
3. H = 18 m
4. θ = 18.91 °
5. H = 24.98 m
6. x = 101.8 m

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