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 33 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 = 33 mg = 9.81 m/s²

v₀ = m/s

2.Easy

A ball is thrown horizontally at 9 m/s from the top of a 60 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 9 m/sh = 60 mg = 9.81 m/s²

v = m/s

3.Medium

A ball is launched at 45° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 32 m/sθ = 45°g = 9.81 m/s²

t = s

4.Medium

A ball is kicked from level ground at 28 m/s and 50° above the horizontal towards a wall 63 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 28 m/sθ = 50°x = 63 mg = 9.81 m/s²

y = m

5.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 = 32 m/sθ = 30°h = 40 mg = 9.81 m/s²

t = s

6.Hard

A ball is launched at 26 m/s and 20° above the horizontal from the top of a 50 m cliff. Ignore air resistance and use g = 9.81 m/s². At what angle α below the horizontal does it hit the ground?

v₀ = 26 m/sθ = 20°h = 50 mg = 9.81 m/s²

α = °

Answer key

1. v₀ = 9.435 m/s
2. v = 35.47 m/s
3. t = 4.613 s
4. y = 14.98 m
5. t = 4.92 s
6. α = 53.12 °

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