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 = 50 mv0​ = 21 m/sx = ?

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

v0 = 21 m/sθ = 0°h = 50 mg = 9.81 m/s²
x = m
2.Easy
v0​ = 14 m/s40°t = ?

A ball is kicked from level ground at 14 m/s and 40° above the horizontal. Ignore air resistance and use g = 9.81 m/s². How long t after the kick does it reach its highest point?

v₀ = 14 m/sθ = 40°g = 9.81 m/s²
t = s
3.Medium
50 my = ?v0​ = 40 m/s65°

A ball is kicked from level ground at 40 m/s and 65° above the horizontal towards a wall 50 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 = 65°x = 50 mg = 9.81 m/s²
y = m
4.Medium
21 my = ?v0​ = 20 m/s20°

A ball is kicked from level ground at 20 m/s and 20° above the horizontal towards a wall 21 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 20 m/sθ = 20°x = 21 mg = 9.81 m/s²
y = m
5.Hard
h = 50 mv0​ = 22 m/s30°x = ?

A ball is launched at 30° 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 = 22 m/sθ = 30°h = 50 mg = 9.81 m/s²
x = m
6.Hard
h = 5 mv0​ = 33 m/s25°v = ?

A ball is launched at 33 m/s and 25° above the horizontal from the top of a 5 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 33 m/sθ = 25°h = 5 mg = 9.81 m/s²
v = m/s

Answer key

  1. 1. x = 67.05 m
  2. 2. t = 0.9173 s
  3. 3. y = 64.31 m
  4. 4. y = 1.519 m
  5. 5. x = 85.84 m
  6. 6. v = 34.45 m/s

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