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 45 m high wall and lands 14 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 45 mx = 14 mg = 9.81 m/s²

v₀ = m/s

2.Easy

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

v₀ = 25 m/sθ = 0°h = 20 mg = 9.81 m/s²

x = m

3.Medium

A ball is launched from level ground at 40 m/s and must land 70 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 = 70 mg = 9.81 m/s²

θ = °

4.Medium

A ball is launched from level ground at 36 m/s and must land 60 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 36 m/sR = 60 mg = 9.81 m/s²

θ = °

5.Hard

A ball is launched at 30 m/s and 50° above the horizontal from the top of a 30 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 = 30 m/sθ = 50°h = 30 mg = 9.81 m/s²

α = °

6.Hard

A ball is launched at 25 m/s and 50° above the horizontal from the top of a 55 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 = 25 m/sθ = 50°h = 55 mg = 9.81 m/s²

H = m

Answer key

1. v₀ = 4.622 m/s
2. x = 50.48 m
3. θ = 12.71 °
4. θ = 13.51 °
5. α = 60.01 °
6. H = 73.69 m

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