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 35 m high wall and lands 8 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 35 mx = 8 mg = 9.81 m/s²

v₀ = m/s

2.Easy

A stone is thrown horizontally from the top of a 60 m high wall and lands 10 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 = 10 mg = 9.81 m/s²

v₀ = m/s

3.Medium

A ball is kicked from level ground at 34 m/s and 45° above the horizontal towards a wall 47 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 34 m/sθ = 45°x = 47 mg = 9.81 m/s²

y = m

4.Medium

A ball is launched at 30° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 22 m/sθ = 30°g = 9.81 m/s²

t = s

5.Hard

A ball is launched at 25° above horizontal from the top of a 50 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 17 m/sθ = 25°h = 50 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 15° above horizontal from the top of a 55 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 11 m/sθ = 15°h = 55 mg = 9.81 m/s²

t = s

Answer key

1. v₀ = 2.995 m/s
2. v₀ = 2.859 m/s
3. y = 28.25 m
4. t = 2.243 s
5. x = 61.75 m
6. t = 3.651 s

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