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

v₀ = 25 m/sθ = 0°h = 20 mg = 9.81 m/s²

x = m

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 from level ground at 45° above the horizontal and lands 125 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 45°R = 125 mg = 9.81 m/s²

v₀ = m/s

4.Medium

A ball is launched from level ground at 20° above the horizontal and lands 20 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 20°R = 20 mg = 9.81 m/s²

v₀ = m/s

5.Hard

A ball is launched at 40° above horizontal from the top of a 35 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 23 m/sθ = 40°h = 35 mg = 9.81 m/s²

t = s

6.Hard

A ball is launched at 12 m/s and 25° above the horizontal from the top of a 45 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 12 m/sθ = 25°h = 45 mg = 9.81 m/s²

v = m/s

Answer key

1. x = 50.48 m
2. t = 1.249 s
3. v₀ = 35.02 m/s
4. v₀ = 17.47 m/s
5. t = 4.574 s
6. v = 32.05 m/s

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