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 40 m high wall and lands 23 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 40 mx = 23 mg = 9.81 m/s²

v₀ = m/s

2.Easy

A ball is launched horizontally from the top of a 75 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 20 m/sθ = 0°h = 75 mg = 9.81 m/s²

x = m

3.Medium

A ball is launched from level ground at 36 m/s and must land 100 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 = 100 mg = 9.81 m/s²

θ = °

4.Medium

A ball is launched from level ground at 34 m/s and must land 75 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 34 m/sR = 75 mg = 9.81 m/s²

θ = °

5.Hard

A ball is thrown from ground level at 21 m/s and 45° above the horizontal. It lands on the flat roof of a building 3 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 = 45°h_roof = 3 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 40° above horizontal from the top of a 15 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 15 m/sθ = 40°h = 15 mg = 9.81 m/s²

t = s

Answer key

1. v₀ = 8.054 m/s
2. x = 78.21 m
3. θ = 24.6 °
4. θ = 19.76 °
5. x = 41.72 m
6. t = 2.989 s

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