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 = 30 mv0​ = 19 m/srange

A ball is launched horizontally from the top of a 30 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 19 m/sθ = 0°h = 30 mg = 9.81 m/s²
t = s
2.Easy
h = 35 mv0​ = 5 m/sv = ?

A ball is thrown horizontally at 5 m/s from the top of a 35 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 5 m/sh = 35 mg = 9.81 m/s²
v = m/s
3.Medium
12 my = ?v0​ = 14 m/s30°

A ball is kicked from level ground at 14 m/s and 30° above the horizontal towards a wall 12 m away. Ignore air resistance and use g = 9.81 m/s². At what height y does the ball pass the wall?

v₀ = 14 m/sθ = 30°x = 12 mg = 9.81 m/s²
y = m
4.Medium
v0​ = 40 m/s65°x = ?

A ball is launched at 65° above horizontal from level ground. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 40 m/sθ = 65°g = 9.81 m/s²
x = m
5.Hard
h = 25 mv0​ = 19 m/s55°range

A ball is launched at 55° above horizontal from the top of a 25 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 19 m/sθ = 55°h = 25 mg = 9.81 m/s²
t = s
6.Hard
h = 15 mv0​ = 28 m/s40°x = ?

A ball is launched at 40° above horizontal from the top of a 15 m cliff. Ignore air resistance. Find the horizontal distance x travelled before the ball hits the ground.

v0 = 28 m/sθ = 40°h = 15 mg = 9.81 m/s²
x = m

Answer key

  1. 1. t = 2.473 s
  2. 2. v = 26.68 m/s
  3. 3. y = 2.123 m
  4. 4. x = 124.9 m
  5. 5. t = 4.346 s
  6. 6. x = 93.72 m

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