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 = 25 mv0​ = 18 m/sx = ?

A ball is launched horizontally from the top of a 25 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 18 m/sθ = 0°h = 25 mg = 9.81 m/s²
x = m
2.Easy
h = 10 mv0​ = 23 m/sv = ?

A ball is thrown horizontally at 23 m/s from the top of a 10 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 23 m/sh = 10 mg = 9.81 m/s²
v = m/s
3.Medium
23 my = ?v0​ = 34 m/s20°

A ball is kicked from level ground at 34 m/s and 20° above the horizontal towards a wall 23 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 34 m/sθ = 20°x = 23 mg = 9.81 m/s²
y = m
4.Medium
59 my = ?v0​ = 38 m/s45°

A ball is kicked from level ground at 38 m/s and 45° above the horizontal towards a wall 59 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 38 m/sθ = 45°x = 59 mg = 9.81 m/s²
y = m
5.Hard
h = 30 mv0​ = 10 m/s40°x = ?

A ball is launched at 40° 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 = 10 m/sθ = 40°h = 30 mg = 9.81 m/s²
x = m
6.Hard
h = 50 mv0​ = 31 m/s55°x = ?

A ball is launched at 55° above horizontal from the top of a 50 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 31 m/sθ = 55°h = 50 mg = 9.81 m/s²
x = m

Answer key

  1. 1. x = 40.64 m
  2. 2. v = 26.93 m/s
  3. 3. y = 5.829 m
  4. 4. y = 35.35 m
  5. 5. x = 24.62 m
  6. 6. x = 119.1 m

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