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
h = 15 mv0​ = 12 m/srange

A ball is launched horizontally 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 = 0°h = 15 mg = 9.81 m/s²
t = s
2.Easy
h = 80 mv0​ = 7 m/srange

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 = 7 m/sθ = 0°h = 80 mg = 9.81 m/s²
t = s
3.Medium
v0​ = 40 m/s60°range

A ball is launched at 60° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 40 m/sθ = 60°g = 9.81 m/s²
t = s
4.Medium
v0​ = 32 m/s25°x = ?

A ball is launched at 25° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 32 m/sθ = 25°g = 9.81 m/s²
x = m
5.Hard
h = 15 mv0​ = 18 m/s45°range

A ball is launched at 45° 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 = 18 m/sθ = 45°h = 15 mg = 9.81 m/s²
t = s
6.Hard
h = 15 mv0​ = 22 m/s60°α = ?

A ball is launched at 22 m/s and 60° above the horizontal from the top of a 15 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 = 22 m/sθ = 60°h = 15 mg = 9.81 m/s²
α = °

Answer key

  1. 1. t = 1.749 s
  2. 2. t = 4.039 s
  3. 3. t = 7.062 s
  4. 4. x = 79.96 m
  5. 5. t = 3.475 s
  6. 6. α = 66.78 °

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