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 = 80 mv0​ = 10 m/sx = ?

A ball is launched horizontally from the top of an 80 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 10 m/sθ = 0°h = 80 mg = 9.81 m/s²
x = m
2.Easy
h = 75 mv0​ = ?x = 47 m

A stone is thrown horizontally from the top of a 75 m high wall and lands 47 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v0.

h = 75 mx = 47 mg = 9.81 m/s²
v0 = m/s
3.Medium
v0​ = 16 m/s70°x = ?

A ball is launched at 70° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 16 m/sθ = 70°g = 9.81 m/s²
x = m
4.Medium
v0​ = 34 m/s40°range

A ball is launched at 40° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 34 m/sθ = 40°g = 9.81 m/s²
t = s
5.Hard
h = 15 mv0​ = 35 m/s65°H = ?

A ball is launched at 35 m/s and 65° 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 = 35 m/sθ = 65°h = 15 mg = 9.81 m/s²
H = m
6.Hard
h = 35 mv0​ = 16 m/s20°α = ?

A ball is launched at 16 m/s and 20° above the horizontal from the top of a 35 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 = 16 m/sθ = 20°h = 35 mg = 9.81 m/s²
α = °

Answer key

  1. 1. x = 40.39 m
  2. 2. v0 = 12.02 m/s
  3. 3. x = 16.77 m
  4. 4. t = 4.456 s
  5. 5. H = 66.28 m
  6. 6. α = 60.68 °

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