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 70 m high wall and lands 9 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

h = 70 mx = 9 mg = 9.81 m/s²

v₀ = m/s

2.Easy

A ball is launched horizontally from the top of a 75 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 16 m/sθ = 0°h = 75 mg = 9.81 m/s²

x = m

3.Medium

A ball is launched at 25° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 36 m/sθ = 25°g = 9.81 m/s²

t = s

4.Medium

A ball is launched from level ground at 65° above the horizontal and lands 55 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v₀.

θ = 65°R = 55 mg = 9.81 m/s²

v₀ = m/s

5.Hard

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

v₀ = 33 m/sθ = 50°h = 25 mg = 9.81 m/s²

x = m

6.Hard

A ball is launched at 30 m/s and 45° above the horizontal from the top of a 25 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 = 30 m/sθ = 45°h = 25 mg = 9.81 m/s²

α = °

Answer key

1. v₀ = 2.382 m/s
2. x = 62.56 m
3. t = 3.102 s
4. v₀ = 26.54 m/s
5. x = 127.3 m
6. α = 55.33 °

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