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 stone is thrown horizontally from the top of a 5 m high wall and lands 15 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 5 mx = 15 mg = 9.81 m/s²

v₀ = m/s

2.Easy

A ball is kicked from level ground at 14 m/s and 60° 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 = 14 m/sθ = 60°g = 9.81 m/s²

t = s

3.Medium

A ball is launched from level ground at 40° above the horizontal and lands 75 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 40°R = 75 mg = 9.81 m/s²

v₀ = m/s

4.Medium

A ball is launched from level ground at 15° above the horizontal and lands 65 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 15°R = 65 mg = 9.81 m/s²

v₀ = m/s

5.Hard

A ball is launched at 30° above horizontal from the top of a 20 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 32 m/sθ = 30°h = 20 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 60° above horizontal from the top of a 60 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 33 m/sθ = 60°h = 60 mg = 9.81 m/s²

t = s

Answer key

1. v₀ = 14.86 m/s
2. t = 1.236 s
3. v₀ = 27.33 m/s
4. v₀ = 35.71 m/s
5. x = 117.1 m
6. t = 7.465 s

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