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 40 m high wall and lands 60 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 40 mx = 60 mg = 9.81 m/s²

v₀ = m/s

2.Easy

A stone is thrown horizontally from the top of a 30 m high wall and lands 52 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 30 mx = 52 mg = 9.81 m/s²

v₀ = m/s

3.Medium

A ball is launched from level ground at 55° above the horizontal and lands 150 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 55°R = 150 mg = 9.81 m/s²

v₀ = m/s

4.Medium

A ball is launched at 30° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 40 m/sθ = 30°g = 9.81 m/s²

t = s

5.Hard

A ball is thrown from ground level at 26 m/s and 35° above the horizontal. It lands on the flat roof of a building 6 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 = 35°h_roof = 6 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 26 m/s and 40° above the horizontal from the top of a 20 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 = 26 m/sθ = 40°h = 20 mg = 9.81 m/s²

α = °

Answer key

1. v₀ = 21.01 m/s
2. v₀ = 21.03 m/s
3. v₀ = 39.57 m/s
4. t = 4.077 s
5. x = 54.59 m
6. α = 52.46 °

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