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 = 35 mv0​ = 24 m/sx = ?

A ball is launched horizontally from the top of a 35 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 24 m/sθ = 0°h = 35 mg = 9.81 m/s²
x = m
2.Easy
h = 75 mv0​ = 10 m/srange

A ball is launched horizontally from the top of a 75 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 10 m/sθ = 0°h = 75 mg = 9.81 m/s²
t = s
3.Medium
49 my = ?v0​ = 40 m/s45°

A ball is kicked from level ground at 40 m/s and 45° above the horizontal towards a wall 49 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 40 m/sθ = 45°x = 49 mg = 9.81 m/s²
y = m
4.Medium
v0​ = 38 m/s35°range

A ball is launched at 35° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 38 m/sθ = 35°g = 9.81 m/s²
t = s
5.Hard
h = 30 mv0​ = 27 m/s60°x = ?

A ball is launched at 60° above horizontal from the top of a 30 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 27 m/sθ = 60°h = 30 mg = 9.81 m/s²
x = m
6.Hard
h = 40 mv0​ = 17 m/s55°H = ?

A ball is launched at 17 m/s and 55° above the horizontal from the top of a 40 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 = 17 m/sθ = 55°h = 40 mg = 9.81 m/s²
H = m

Answer key

  1. 1. x = 64.11 m
  2. 2. t = 3.91 s
  3. 3. y = 34.28 m
  4. 4. t = 4.444 s
  5. 5. x = 78.55 m
  6. 6. H = 49.88 m

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