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 thrown horizontally at 19 m/s from the top of a 35 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 19 m/sh = 35 mg = 9.81 m/s²

v = m/s

2.Easy

A ball is launched horizontally from the top of a 5 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 7 m/sθ = 0°h = 5 mg = 9.81 m/s²

t = s

3.Medium

A ball is launched from level ground at 65° above the horizontal and lands 150 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 65°R = 150 mg = 9.81 m/s²

v₀ = m/s

4.Medium

A ball is launched from level ground at 22 m/s and must land 40 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 = 40 mg = 9.81 m/s²

θ = °

5.Hard

A ball is launched at 19 m/s and 45° above the horizontal from the top of a 10 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 = 19 m/sθ = 45°h = 10 mg = 9.81 m/s²

α = °

6.Hard

A ball is launched at 20 m/s and 50° above the horizontal from the top of a 40 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the greatest height H above the ground at the foot of the cliff.

v₀ = 20 m/sθ = 50°h = 40 mg = 9.81 m/s²

H = m

Answer key

1. v = 32.37 m/s
2. t = 1.01 s
3. v₀ = 43.83 m/s
4. θ = 27.08 °
5. α = 55.31 °
6. H = 51.96 m

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