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 40 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 7 m/sθ = 0°h = 40 mg = 9.81 m/s²

t = s

2.Easy

A ball is kicked from level ground at 32 m/s and 45° 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 = 45°g = 9.81 m/s²

t = s

3.Medium

A ball is launched from level ground at 16 m/s and must land 15 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 16 m/sR = 15 mg = 9.81 m/s²

θ = °

4.Medium

A ball is launched at 60° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 14 m/sθ = 60°g = 9.81 m/s²

H = m

5.Hard

A ball is thrown from ground level at 39 m/s and 55° above the horizontal. It lands on the flat roof of a building 27 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 = 39 m/sθ = 55°h_roof = 27 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 30 m/s and 60° above the horizontal from the top of a 60 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 = 30 m/sθ = 60°h = 60 mg = 9.81 m/s²

H = m

Answer key

1. t = 2.856 s
2. t = 2.307 s
3. θ = 17.54 °
4. H = 7.492 m
5. x = 123.4 m
6. H = 94.4 m

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