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 = 70 mv0​ = 17 m/sv = ?

A ball is thrown horizontally at 17 m/s from the top of a 70 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 17 m/sh = 70 mg = 9.81 m/s²
v = m/s
2.Easy
h = 70 mv0​ = ?x = 21 m

A stone is thrown horizontally from the top of a 70 m high wall and lands 21 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v0.

h = 70 mx = 21 mg = 9.81 m/s²
v0 = m/s
3.Medium
v0​ = ?45°R = 140 m

A ball is launched from level ground at 45° above the horizontal and lands 140 m away. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v0.

θ = 45°R = 140 mg = 9.81 m/s²
v0 = m/s
4.Medium
v0​ = 16 m/sθ = ?R = 10 m

A ball is launched from level ground at 16 m/s and must land 10 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 16 m/sR = 10 mg = 9.81 m/s²
θ = °
5.Hard
8 mv0​ = 34 m/s40°x = ?

A ball is thrown from ground level at 34 m/s and 40° above the horizontal. It lands on the flat roof of a building 8 m high, on its way down. Ignore air resistance and use g = 9.81 m/s². Find the horizontal distance x from the launch point to where it lands.

v₀ = 34 m/sθ = 40°hroof = 8 mg = 9.81 m/s²
x = m
6.Hard
h = 10 mv0​ = 29 m/s60°H = ?

A ball is launched at 29 m/s and 60° above the horizontal from the top of a 10 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 = 29 m/sθ = 60°h = 10 mg = 9.81 m/s²
H = m

Answer key

  1. 1. v = 40.77 m/s
  2. 2. v0 = 5.559 m/s
  3. 3. v0 = 37.06 m/s
  4. 4. θ = 11.27 °
  5. 5. x = 105.6 m
  6. 6. H = 42.15 m

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