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 a 45 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 19 m/sθ = 0°h = 45 mg = 9.81 m/s²

x = m

2.Easy

A ball is kicked from level ground at 18 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 = 18 m/sθ = 70°g = 9.81 m/s²

t = s

3.Medium

A ball is launched at 50° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 10 m/sθ = 50°g = 9.81 m/s²

H = m

4.Medium

A ball is launched from level ground at 32 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 = 32 m/sR = 40 mg = 9.81 m/s²

θ = °

5.Hard

A ball is thrown from ground level at 26 m/s and 50° above the horizontal. It lands on the flat roof of a building 14 m high, on its way down. Ignore air resistance and use g = 9.81 m/s². Find the horizontal distance x from the launch point to where it lands.

v₀ = 26 m/sθ = 50°h_roof = 14 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 18 m/s and 30° above the horizontal from the top of a 15 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 = 30°h = 15 mg = 9.81 m/s²

H = m

Answer key

1. x = 57.55 m
2. t = 1.724 s
3. H = 2.991 m
4. θ = 11.27 °
5. x = 52.75 m
6. H = 19.13 m

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