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 = 10 mv0​ = 15 m/srange

A ball is launched horizontally from the top of a 10 m cliff. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 15 m/sθ = 0°h = 10 mg = 9.81 m/s²
t = s
2.Easy
h = 45 mv0​ = 6 m/sv = ?

A ball is thrown horizontally at 6 m/s from the top of a 45 m cliff. Ignore air resistance and use g = 9.81 m/s². Find the speed v with which it hits the ground.

v₀ = 6 m/sh = 45 mg = 9.81 m/s²
v = m/s
3.Medium
v0​ = 36 m/s70°range

A ball is launched at 70° above horizontal from level ground. Ignore air resistance. Find the time of flight t until the ball hits the ground.

v0 = 36 m/sθ = 70°g = 9.81 m/s²
t = s
4.Medium
34 my = ?v0​ = 38 m/s65°

A ball is kicked from level ground at 38 m/s and 65° above the horizontal towards a wall 34 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 = 65°x = 34 mg = 9.81 m/s²
y = m
5.Hard
h = 15 mv0​ = 25 m/s25°x = ?

A ball is launched at 25° 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 = 25 m/sθ = 25°h = 15 mg = 9.81 m/s²
x = m
6.Hard
h = 60 mv0​ = 19 m/s25°x = ?

A ball is launched at 25° 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 = 19 m/sθ = 25°h = 60 mg = 9.81 m/s²
x = m

Answer key

  1. 1. t = 1.428 s
  2. 2. v = 30.31 m/s
  3. 3. t = 6.897 s
  4. 4. y = 50.93 m
  5. 5. x = 70.94 m
  6. 6. x = 75.95 m

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