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 55 m high wall and lands 13 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 55 mx = 13 mg = 9.81 m/s²

v₀ = m/s

2.Easy

A ball is thrown horizontally at 23 m/s from the top of a 40 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 23 m/sh = 40 mg = 9.81 m/s²

v = m/s

3.Medium

A ball is launched from level ground at 40 m/s and must land 90 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 40 m/sR = 90 mg = 9.81 m/s²

θ = °

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 = 14 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 horizontal distance x travelled before the ball hits the ground.

v₀ = 14 m/sθ = 35°h = 40 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 45° above horizontal from the top of a 60 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 35 m/sθ = 45°h = 60 mg = 9.81 m/s²

x = m

Answer key

1. v₀ = 3.882 m/s
2. v = 36.25 m/s
3. θ = 16.75 °
4. x = 12.84 m
5. x = 43.46 m
6. x = 169.2 m

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