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 = 65 mv0​ = ?x = 12 m

A stone is thrown horizontally from the top of a 65 m high wall and lands 12 m from the foot of the wall. Ignore air resistance and use g = 9.81 m/s². Find the launch speed v0.

h = 65 mx = 12 mg = 9.81 m/s²
v0 = m/s
2.Easy
h = 65 mv0​ = 16 m/sv = ?

A ball is thrown horizontally at 16 m/s from the top of a 65 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 16 m/sh = 65 mg = 9.81 m/s²
v = m/s
3.Medium
41 my = ?v0​ = 26 m/s40°

A ball is kicked from level ground at 26 m/s and 40° above the horizontal towards a wall 41 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 26 m/sθ = 40°x = 41 mg = 9.81 m/s²
y = m
4.Medium
v0​ = 26 m/s45°x = ?

A ball is launched at 45° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 26 m/sθ = 45°g = 9.81 m/s²
x = m
5.Hard
h = 15 mv0​ = 22 m/s25°H = ?

A ball is launched at 22 m/s and 25° 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 = 22 m/sθ = 25°h = 15 mg = 9.81 m/s²
H = m
6.Hard
h = 60 mv0​ = 18 m/s55°x = ?

A ball is launched at 55° above horizontal from the top of a 60 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 18 m/sθ = 55°h = 60 mg = 9.81 m/s²
x = m

Answer key

  1. 1. v0 = 3.296 m/s
  2. 2. v = 39.13 m/s
  3. 3. y = 13.62 m
  4. 4. x = 68.91 m
  5. 5. H = 19.41 m
  6. 6. x = 54.82 m

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