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 60 m high wall and lands 9 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 60 mx = 9 mg = 9.81 m/s²

v₀ = m/s

2.Easy

A ball is launched horizontally from the top of a 70 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 7 m/sθ = 0°h = 70 mg = 9.81 m/s²

x = m

3.Medium

A ball is launched from level ground at 40 m/s and must land 110 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 = 110 mg = 9.81 m/s²

θ = °

4.Medium

A ball is launched at 25° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 20 m/sθ = 25°g = 9.81 m/s²

t = s

5.Hard

A ball is thrown from ground level at 21 m/s and 70° above the horizontal. It lands on the flat roof of a building 5 m high, on its way down. Ignore air resistance and use g = 9.81 m/s². Find the horizontal distance x from the launch point to where it lands.

v₀ = 21 m/sθ = 70°h_roof = 5 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 17 m/s and 55° above the horizontal from the top of a 40 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 = 40 mg = 9.81 m/s²

α = °

Answer key

1. v₀ = 2.573 m/s
2. x = 26.44 m
3. θ = 21.21 °
4. t = 1.723 s
5. x = 26.94 m
6. α = 72.69 °

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