Question

a box is dropped down out of an airplane.(a) what is its downward velocity after 12 s of free fall if there is no air resistance? solve this

Answer 1

Assuming there is no air resistance, the downward velocity of the box in free fall will increase at a constant rate due to gravity. The acceleration due to gravity is approximately 9.8 m/s².

Using the equation of motion:

`v=u+at`

Where:

• 
  `v` is the final velocity (downward velocity of the box after 12 s)
• 
  `u` is the initial velocity (which is 0 as the box was dropped)
• 
  `a` is the acceleration due to gravity (9.8 m/s²)
• 
  `t\\` is the time (12 s)

Substituting the values:

`v=0+(9.8m/s²)x(12s)`

`v=117.6m/s`

The downward velocity of the box after 12 seconds of free fall, with no air resistance, is 117.6 m/s.