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

v₀ = 13 m/sθ = 0°h = 55 mg = 9.81 m/s²

x = m

2.Easy

A ball is thrown horizontally at 11 m/s from the top of a 65 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 11 m/sh = 65 mg = 9.81 m/s²

v = m/s

3.Medium

A ball is launched at 70° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 26 m/sθ = 70°g = 9.81 m/s²

t = s

4.Medium

A ball is launched from level ground at 38 m/s and must land 95 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 38 m/sR = 95 mg = 9.81 m/s²

θ = °

5.Hard

A ball is launched at 14 m/s and 15° above the horizontal from the top of a 55 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 = 14 m/sθ = 15°h = 55 mg = 9.81 m/s²

α = °

6.Hard

A ball is launched at 45° above horizontal from the top of a 10 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 14 m/sθ = 45°h = 10 mg = 9.81 m/s²

t = s

Answer key

1. x = 43.53 m
2. v = 37.37 m/s
3. t = 4.981 s
4. θ = 20.1 °
5. α = 67.75 °
6. t = 2.758 s

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