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 5 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 7 m/sθ = 0°h = 5 mg = 9.81 m/s²

x = m

2.Easy

A stone is thrown horizontally from the top of a 75 m high wall and lands 54 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 75 mx = 54 mg = 9.81 m/s²

v₀ = m/s

3.Medium

A ball is launched from level ground at 40 m/s and must land 110 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 40 m/sR = 110 mg = 9.81 m/s²

θ = °

4.Medium

A ball is launched from level ground at 75° above the horizontal and lands 75 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 75°R = 75 mg = 9.81 m/s²

v₀ = m/s

5.Hard

A ball is thrown from ground level at 29 m/s and 45° above the horizontal. It lands on the flat roof of a building 15 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 = 29 m/sθ = 45°h_roof = 15 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 50° above horizontal from the top of a 40 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 11 m/sθ = 50°h = 40 mg = 9.81 m/s²

x = m

Answer key

1. x = 7.067 m
2. v₀ = 13.81 m/s
3. θ = 21.21 °
4. v₀ = 38.36 m/s
5. x = 66.35 m
6. x = 27.16 m

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