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 55 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 5 m/sθ = 0°h = 55 mg = 9.81 m/s²

x = m

2.Easy

A ball is kicked from level ground at 10 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 = 10 m/sθ = 30°g = 9.81 m/s²

t = s

3.Medium

A ball is launched from level ground at 22 m/s and must land 20 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 22 m/sR = 20 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 = 30 m/sθ = 30°g = 9.81 m/s²

x = m

5.Hard

A ball is launched at 23 m/s and 25° above the horizontal from the top of a 50 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 = 23 m/sθ = 25°h = 50 mg = 9.81 m/s²

α = °

6.Hard

A ball is launched at 30° above horizontal from the top of a 50 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 16 m/sθ = 30°h = 50 mg = 9.81 m/s²

x = m

Answer key

1. x = 16.74 m
2. t = 0.5097 s
3. θ = 11.96 °
4. x = 79.45 m
5. α = 57.56 °
6. x = 56.96 m

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