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 50 m high wall and lands 58 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 50 mx = 58 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 = 11 m/sθ = 0°h = 20 mg = 9.81 m/s²

x = m

3.Medium

A ball is launched from level ground at 38 m/s and must land 120 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 = 120 mg = 9.81 m/s²

θ = °

4.Medium

A ball is launched at 65° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 12 m/sθ = 65°g = 9.81 m/s²

H = m

5.Hard

A ball is launched at 17 m/s and 55° above the horizontal from the top of a 5 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 = 17 m/sθ = 55°h = 5 mg = 9.81 m/s²

α = °

6.Hard

A ball is launched at 35° above horizontal from the top of a 45 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 35 m/sθ = 35°h = 45 mg = 9.81 m/s²

x = m

Answer key

1. v₀ = 18.17 m/s
2. x = 22.21 m
3. θ = 27.31 °
4. H = 6.029 m
5. α = 60.29 °
6. x = 163.5 m

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