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​ = 11 m/sv = ?

A ball is thrown horizontally at 11 m/s from the top of a 15 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 11 m/sh = 15 mg = 9.81 m/s²
v = m/s
2.Easy
h = 80 mv0​ = 10 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 = 10 m/sθ = 0°h = 80 mg = 9.81 m/s²
t = s
3.Medium
v0​ = 14 m/sθ = ?R = 15 m

A ball is launched from level ground at 14 m/s and must land 15 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 14 m/sR = 15 mg = 9.81 m/s²
θ = °
4.Medium
v0​ = 32 m/sθ = ?R = 85 m

A ball is launched from level ground at 32 m/s and must land 85 m away. Ignore air resistance and use g = 9.81 m/s². Find the smaller of the two possible launch angles θ.

v₀ = 32 m/sR = 85 mg = 9.81 m/s²
θ = °
5.Hard
28 mv0​ = 32 m/s65°x = ?

A ball is thrown from ground level at 32 m/s and 65° above the horizontal. It lands on the flat roof of a building 28 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 = 32 m/sθ = 65°hroof = 28 mg = 9.81 m/s²
x = m
6.Hard
h = 20 mv0​ = 18 m/s55°H = ?

A ball is launched at 18 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. Find the greatest height H above the ground at the foot of the cliff.

v₀ = 18 m/sθ = 55°h = 20 mg = 9.81 m/s²
H = m

Answer key

  1. 1. v = 20.38 m/s
  2. 2. t = 4.039 s
  3. 3. θ = 24.33 °
  4. 4. θ = 27.26 °
  5. 5. x = 63.53 m
  6. 6. H = 31.08 m

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