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 = 12 m/sθ = 0°h = 5 mg = 9.81 m/s²

x = m

2.Easy

A ball is launched horizontally from the top of a 75 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 17 m/sθ = 0°h = 75 mg = 9.81 m/s²

x = m

3.Medium

A ball is launched from level ground at 22 m/s and must land 25 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 22 m/sR = 25 mg = 9.81 m/s²

θ = °

4.Medium

A ball is launched from level ground at 45° above the horizontal and lands 105 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 45°R = 105 mg = 9.81 m/s²

v₀ = m/s

5.Hard

A ball is launched at 20° above horizontal from the top of a 5 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 12 m/sθ = 20°h = 5 mg = 9.81 m/s²

t = s

6.Hard

A ball is launched at 20° above horizontal from the top of a 20 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 12 m/sθ = 20°h = 20 mg = 9.81 m/s²

x = m

Answer key

1. x = 12.12 m
2. x = 66.48 m
3. θ = 15.22 °
4. v₀ = 32.09 m/s
5. t = 1.511 s
6. x = 27.97 m

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