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 45° 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 = 45°g = 9.81 m/s²

t = s

2.Easy

A ball is kicked from level ground at 28 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 = 28 m/sθ = 40°g = 9.81 m/s²

t = s

3.Medium

A ball is launched from level ground at 24 m/s and must land 30 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 24 m/sR = 30 mg = 9.81 m/s²

θ = °

4.Medium

A ball is launched at 30° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 34 m/sθ = 30°g = 9.81 m/s²

x = m

5.Hard

A ball is launched at 30° above horizontal from the top of a 15 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 33 m/sθ = 30°h = 15 mg = 9.81 m/s²

x = m

6.Hard

A ball is thrown from ground level at 38 m/s and 60° 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 = 38 m/sθ = 60°h_roof = 3 mg = 9.81 m/s²

x = m

Answer key

1. t = 2.739 s
2. t = 1.835 s
3. θ = 15.36 °
4. x = 102.1 m
5. x = 117.4 m
6. x = 125.7 m

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