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 thrown horizontally at 5 m/s from the top of a 55 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 = 55 mg = 9.81 m/s²

v = m/s

2.Easy

A stone is thrown horizontally from the top of a 10 m high wall and lands 22 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 10 mx = 22 mg = 9.81 m/s²

v₀ = m/s

3.Medium

A ball is kicked from level ground at 24 m/s and 50° above the horizontal towards a wall 40 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 24 m/sθ = 50°x = 40 mg = 9.81 m/s²

y = m

4.Medium

A ball is launched from level ground at 20° above the horizontal and lands 30 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 20°R = 30 mg = 9.81 m/s²

v₀ = m/s

5.Hard

A ball is launched at 40° above horizontal from the top of a 45 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 17 m/sθ = 40°h = 45 mg = 9.81 m/s²

t = s

6.Hard

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

v₀ = 13 m/sθ = 60°h = 45 mg = 9.81 m/s²

x = m

Answer key

1. v = 33.23 m/s
2. v₀ = 15.41 m/s
3. y = 14.69 m
4. v₀ = 21.4 m/s
5. t = 4.341 s
6. x = 28.51 m

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