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 20 m high wall and lands 20 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 20 mx = 20 mg = 9.81 m/s²

v₀ = m/s

2.Easy

A ball is kicked from level ground at 22 m/s and 20° 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 = 22 m/sθ = 20°g = 9.81 m/s²

t = s

3.Medium

A ball is launched from level ground at 50° above the horizontal and lands 10 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 50°R = 10 mg = 9.81 m/s²

v₀ = m/s

4.Medium

A ball is launched at 20° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 20 m/sθ = 20°g = 9.81 m/s²

x = m

5.Hard

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

v₀ = 21 m/sθ = 35°h = 40 mg = 9.81 m/s²

t = s

6.Hard

A ball is launched at 25° above horizontal from the top of a 15 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 25 m/sθ = 25°h = 15 mg = 9.81 m/s²

x = m

Answer key

1. v₀ = 9.905 m/s
2. t = 0.767 s
3. v₀ = 9.981 m/s
4. x = 26.21 m
5. t = 4.336 s
6. x = 70.94 m

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