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 kicked from level ground at 38 m/s and 40° above the horizontal. Ignore air resistance and use g = 9.81 m/s². How long t after the kick does it reach its highest point?

v₀ = 38 m/sθ = 40°g = 9.81 m/s²

t = s

2.Easy

A ball is kicked from level ground at 28 m/s and 30° above the horizontal. Ignore air resistance and use g = 9.81 m/s². How long t after the kick does it reach its highest point?

v₀ = 28 m/sθ = 30°g = 9.81 m/s²

t = s

3.Medium

A ball is launched at 65° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 12 m/sθ = 65°g = 9.81 m/s²

t = s

4.Medium

A ball is launched at 70° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 40 m/sθ = 70°g = 9.81 m/s²

x = m

5.Hard

A ball is launched at 40° above horizontal from the top of a 35 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 33 m/sθ = 40°h = 35 mg = 9.81 m/s²

x = m

6.Hard

A ball is thrown from ground level at 40 m/s and 45° above the horizontal. It lands on the flat roof of a building 14 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 = 40 m/sθ = 45°h_roof = 14 mg = 9.81 m/s²

x = m

Answer key

1. t = 2.49 s
2. t = 1.427 s
3. t = 2.217 s
4. x = 104.8 m
5. x = 141.5 m
6. x = 147.6 m

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