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
v0​ = 36 m/s40°t = ?

A ball is kicked from level ground at 36 m/s and 40° 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 = 36 m/sθ = 40°g = 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​ = ?25°R = 75 m

A ball is launched from level ground at 25° above the horizontal and lands 75 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v0.

θ = 25°R = 75 mg = 9.81 m/s²
v0 = m/s
4.Medium
v0​ = 38 m/sθ = ?R = 100 m

A ball is launched from level ground at 38 m/s and must land 100 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 = 100 mg = 9.81 m/s²
θ = °
5.Hard
h = 15 mv0​ = 34 m/s55°α = ?

A ball is launched at 34 m/s and 55° 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 = 34 m/sθ = 55°h = 15 mg = 9.81 m/s²
α = °
6.Hard
h = 50 mv0​ = 16 m/s35°range

A ball is launched at 35° above horizontal from the top of a 50 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 16 m/sθ = 35°h = 50 mg = 9.81 m/s²
t = s

Answer key

  1. 1. t = 2.359 s
  2. 2. t = 4.039 s
  3. 3. v0 = 30.99 m/s
  4. 4. θ = 21.4 °
  5. 5. α = 59.2 °
  6. 6. t = 4.262 s

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