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 36 m/s and 55° 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 = 36 m/sθ = 55°g = 9.81 m/s²

t = s

2.Easy

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

v₀ = 19 m/sθ = 0°h = 5 mg = 9.81 m/s²

x = m

3.Medium

A ball is launched from level ground at 20 m/s and must land 15 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 20 m/sR = 15 mg = 9.81 m/s²

θ = °

4.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 = 18 m/sθ = 65°g = 9.81 m/s²

t = s

5.Hard

A ball is launched at 40° above horizontal from the top of a 55 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 12 m/sθ = 40°h = 55 mg = 9.81 m/s²

t = s

6.Hard

A ball is launched at 26 m/s and 40° above the horizontal from the top of a 35 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 = 26 m/sθ = 40°h = 35 mg = 9.81 m/s²

α = °

Answer key

1. t = 3.006 s
2. x = 19.18 m
3. θ = 10.79 °
4. t = 3.326 s
5. t = 4.226 s
6. α = 57.35 °

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