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

v₀ = 9 m/sθ = 0°h = 20 mg = 9.81 m/s²

t = s

2.Easy

A stone is thrown horizontally from the top of a 35 m high wall and lands 20 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 35 mx = 20 mg = 9.81 m/s²

v₀ = m/s

3.Medium

A ball is launched at 25° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 28 m/sθ = 25°g = 9.81 m/s²

H = m

4.Medium

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

v₀ = 30 m/sθ = 20°g = 9.81 m/s²

H = m

5.Hard

A ball is launched at 24 m/s and 45° above the horizontal from the top of a 30 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 = 24 m/sθ = 45°h = 30 mg = 9.81 m/s²

α = °

6.Hard

A ball is launched at 25° above horizontal from the top of a 30 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 16 m/sθ = 25°h = 30 mg = 9.81 m/s²

x = m

Answer key

1. t = 2.019 s
2. v₀ = 7.487 m/s
3. H = 7.137 m
4. H = 5.366 m
5. α = 60.18 °
6. x = 47.22 m

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