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 time of flight t until the ball hits the ground.

v₀ = 10 m/sθ = 0°h = 80 mg = 9.81 m/s²

t = s

2.Easy

A ball is launched horizontally from the top of a 5 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 17 m/sθ = 0°h = 5 mg = 9.81 m/s²

t = s

3.Medium

A ball is launched at 20° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 20 m/sθ = 20°g = 9.81 m/s²

H = m

4.Medium

A ball is launched at 55° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 12 m/sθ = 55°g = 9.81 m/s²

t = s

5.Hard

A ball is launched at 33 m/s and 45° above the horizontal from the top of a 50 m cliff. Ignore air resistance and use g = 9.81 m/s². At what angle α below the horizontal does it hit the ground?

v₀ = 33 m/sθ = 45°h = 50 mg = 9.81 m/s²

α = °

6.Hard

A ball is thrown from ground level at 31 m/s and 45° above the horizontal. It lands on the flat roof of a building 8 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 = 31 m/sθ = 45°h_roof = 8 mg = 9.81 m/s²

x = m

Answer key

1. t = 4.039 s
2. t = 1.01 s
3. H = 2.385 m
4. t = 2.004 s
5. α = 59.14 °
6. x = 89.17 m

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