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 60 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 = 60 mx = 16 mg = 9.81 m/s²

v₀ = m/s

2.Easy

A ball is thrown horizontally at 5 m/s from the top of a 50 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 5 m/sh = 50 mg = 9.81 m/s²

v = m/s

3.Medium

A ball is launched at 20° above horizontal from level ground. Ignore air resistance. Find the maximum height H the ball reaches.

v₀ = 30 m/sθ = 20°g = 9.81 m/s²

H = m

4.Medium

A ball is launched at 50° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 38 m/sθ = 50°g = 9.81 m/s²

x = m

5.Hard

A ball is launched at 30° above horizontal from the top of a 35 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 34 m/sθ = 30°h = 35 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 30° 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 = 12 m/sθ = 30°h = 40 mg = 9.81 m/s²

t = s

Answer key

1. v₀ = 4.575 m/s
2. v = 31.72 m/s
3. H = 5.366 m
4. x = 145 m
5. x = 144.8 m
6. t = 3.532 s

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