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 12 m/s and 50° 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 = 12 m/sθ = 50°g = 9.81 m/s²

t = s

2.Easy

A ball is kicked from level ground at 16 m/s and 50° 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 = 16 m/sθ = 50°g = 9.81 m/s²

t = s

3.Medium

A ball is launched at 45° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 18 m/sθ = 45°g = 9.81 m/s²

t = s

4.Medium

A ball is launched at 35° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 26 m/sθ = 35°g = 9.81 m/s²

x = m

5.Hard

A ball is thrown from ground level at 27 m/s and 70° above the horizontal. It lands on the flat roof of a building 23 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 = 27 m/sθ = 70°h_roof = 23 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 20 m/s and 25° above the horizontal from the top of a 10 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 = 20 m/sθ = 25°h = 10 mg = 9.81 m/s²

α = °

Answer key

1. t = 0.9371 s
2. t = 1.249 s
3. t = 2.595 s
4. x = 64.75 m
5. x = 36.94 m
6. α = 42.07 °

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