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 = 55 mv0​ = 6 m/srange

A ball is launched horizontally from the top of a 55 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 6 m/sθ = 0°h = 55 mg = 9.81 m/s²
t = s
2.Easy
v0​ = 14 m/s60°t = ?

A ball is kicked from level ground at 14 m/s and 60° above the horizontal. Ignore air resistance and use g = 9.81 m/s². How long t after the kick does it reach its highest point?

v₀ = 14 m/sθ = 60°g = 9.81 m/s²
t = s
3.Medium
v0​ = 38 m/sθ = ?R = 65 m

A ball is launched from level ground at 38 m/s and must land 65 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 38 m/sR = 65 mg = 9.81 m/s²
θ = °
4.Medium
v0​ = 36 m/s45°range

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 = 36 m/sθ = 45°g = 9.81 m/s²
t = s
5.Hard
h = 10 mv0​ = 30 m/s30°range

A ball is launched at 30° above horizontal from the top of a 10 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 30 m/sθ = 30°h = 10 mg = 9.81 m/s²
t = s
6.Hard
h = 30 mv0​ = 24 m/s15°range

A ball is launched at 15° above horizontal from the top of a 30 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 24 m/sθ = 15°h = 30 mg = 9.81 m/s²
t = s

Answer key

  1. 1. t = 3.349 s
  2. 2. t = 1.236 s
  3. 3. θ = 13.1 °
  4. 4. t = 5.19 s
  5. 5. t = 3.621 s
  6. 6. t = 3.186 s

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