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

v₀ = 12 m/sθ = 0°h = 55 mg = 9.81 m/s²

x = m

2.Easy

A stone is thrown horizontally from the top of a 5 m high wall and lands 16 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 = 16 mg = 9.81 m/s²

v₀ = m/s

3.Medium

A ball is launched from level ground at 30° above the horizontal and lands 130 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 30°R = 130 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 time of flight t until the ball hits the ground.

v₀ = 40 m/sθ = 20°g = 9.81 m/s²

t = s

5.Hard

A ball is launched at 18 m/s and 50° above the horizontal from the top of a 35 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 18 m/sθ = 50°h = 35 mg = 9.81 m/s²

v = m/s

6.Hard

A ball is launched at 20° above horizontal from the top of a 5 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 17 m/sθ = 20°h = 5 mg = 9.81 m/s²

x = m

Answer key

1. x = 40.18 m
2. v₀ = 15.85 m/s
3. v₀ = 38.37 m/s
4. t = 2.789 s
5. v = 31.79 m/s
6. x = 28.17 m

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