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​ = 21 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 = 21 m/sθ = 0°h = 15 mg = 9.81 m/s²
t = s
2.Easy
h = 80 mv0​ = ?x = 19 m

A stone is thrown horizontally from the top of an 80 m high wall and lands 19 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v0.

h = 80 mx = 19 mg = 9.81 m/s²
v0 = m/s
3.Medium
v0​ = ?75°R = 110 m

A ball is launched from level ground at 75° above the horizontal and lands 110 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v0.

θ = 75°R = 110 mg = 9.81 m/s²
v0 = m/s
4.Medium
v0​ = ?35°R = 125 m

A ball is launched from level ground at 35° above the horizontal and lands 125 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v0.

θ = 35°R = 125 mg = 9.81 m/s²
v0 = m/s
5.Hard
h = 20 mv0​ = 15 m/s55°α = ?

A ball is launched at 15 m/s and 55° above the horizontal from the top of a 20 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 = 15 m/sθ = 55°h = 20 mg = 9.81 m/s²
α = °
6.Hard
h = 15 mv0​ = 16 m/s45°H = ?

A ball is launched at 16 m/s and 45° above the horizontal from the top of a 15 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the greatest height H above the ground at the foot of the cliff.

v₀ = 16 m/sθ = 45°h = 15 mg = 9.81 m/s²
H = m

Answer key

  1. 1. t = 1.749 s
  2. 2. v0 = 4.705 m/s
  3. 3. v0 = 46.46 m/s
  4. 4. v0 = 36.12 m/s
  5. 5. α = 69.74 °
  6. 6. H = 21.52 m

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