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 stone is thrown horizontally from the top of a 45 m high wall and lands 8 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 45 mx = 8 mg = 9.81 m/s²

v₀ = m/s

2.Easy

A ball is launched horizontally from the top of a 5 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 24 m/sθ = 0°h = 5 mg = 9.81 m/s²

x = m

3.Medium

A ball is launched from level ground at 45° above the horizontal and lands 125 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 45°R = 125 mg = 9.81 m/s²

v₀ = m/s

4.Medium

A ball is launched at 65° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 36 m/sθ = 65°g = 9.81 m/s²

H = m

5.Hard

A ball is launched at 35° above horizontal from the top of a 30 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 32 m/sθ = 35°h = 30 mg = 9.81 m/s²

t = s

6.Hard

A ball is launched at 25 m/s and 60° above the horizontal from the top of a 45 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 = 25 m/sθ = 60°h = 45 mg = 9.81 m/s²

α = °

Answer key

1. v₀ = 2.641 m/s
2. x = 24.23 m
3. v₀ = 35.02 m/s
4. H = 54.26 m
5. t = 4.972 s
6. α = 71.22 °

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