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 launched horizontally from the top of an 80 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v₀ = 16 m/sθ = 0°h = 80 mg = 9.81 m/s²

t = s

2.Easy

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

v₀ = 20 m/sθ = 0°h = 35 mg = 9.81 m/s²

x = m

3.Medium

A ball is launched at 70° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v₀ = 28 m/sθ = 70°g = 9.81 m/s²

x = m

4.Medium

A ball is kicked from level ground at 12 m/s and 45° above the horizontal towards a wall 10 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 12 m/sθ = 45°x = 10 mg = 9.81 m/s²

y = m

5.Hard

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

v₀ = 12 m/sθ = 55°h = 15 mg = 9.81 m/s²

t = s

6.Hard

A ball is launched at 24 m/s and 35° above the horizontal from the top of a 35 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 = 24 m/sθ = 35°h = 35 mg = 9.81 m/s²

α = °

Answer key

1. t = 4.039 s
2. x = 53.42 m
3. x = 51.37 m
4. y = 3.187 m
5. t = 3.017 s
6. α = 56.41 °

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