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 = 10 mv0​ = 18 m/srange

A ball is launched horizontally from the top of a 10 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 18 m/sθ = 0°h = 10 mg = 9.81 m/s²
t = s
2.Easy
h = 5 mv0​ = 6 m/srange

A ball is launched horizontally from the top of a 5 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 6 m/sθ = 0°h = 5 mg = 9.81 m/s²
t = s
3.Medium
v0​ = ?50°R = 140 m

A ball is launched from level ground at 50° above the horizontal and lands 140 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v0.

θ = 50°R = 140 mg = 9.81 m/s²
v0 = m/s
4.Medium
v0​ = ?45°R = 70 m

A ball is launched from level ground at 45° above the horizontal and lands 70 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v0.

θ = 45°R = 70 mg = 9.81 m/s²
v0 = m/s
5.Hard
h = 15 mv0​ = 13 m/s35°range

A ball is launched at 35° 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 = 13 m/sθ = 35°h = 15 mg = 9.81 m/s²
t = s
6.Hard
h = 5 mv0​ = 22 m/s60°v = ?

A ball is launched at 22 m/s and 60° above the horizontal from the top of a 5 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 22 m/sθ = 60°h = 5 mg = 9.81 m/s²
v = m/s

Answer key

  1. 1. t = 1.428 s
  2. 2. t = 1.01 s
  3. 3. v0 = 37.34 m/s
  4. 4. v0 = 26.2 m/s
  5. 5. t = 2.667 s
  6. 6. v = 24.13 m/s

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