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 launched horizontally from the top of a 70 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 19 m/sθ = 0°h = 70 mg = 9.81 m/s²

t = s

2.Easy

A ball is thrown horizontally at 8 m/s from the top of a 50 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 8 m/sh = 50 mg = 9.81 m/s²

v = m/s

3.Medium

A ball is launched from level ground at 32 m/s and must land 50 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 32 m/sR = 50 mg = 9.81 m/s²

θ = °

4.Medium

A ball is launched at 60° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 38 m/sθ = 60°g = 9.81 m/s²

H = m

5.Hard

A ball is thrown from ground level at 34 m/s and 60° above the horizontal. It lands on the flat roof of a building 17 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 = 34 m/sθ = 60°h_roof = 17 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 60° above horizontal from the top of a 5 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 18 m/sθ = 60°h = 5 mg = 9.81 m/s²

x = m

Answer key

1. t = 3.778 s
2. v = 32.33 m/s
3. θ = 14.31 °
4. H = 55.2 m
5. x = 91.05 m
6. x = 31.25 m

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