Question

If a box of supplies is dropped from the cargo hold of an airplane travelling at an altitude of 4,410 meters how long will it take to reach the ground!

Also what is the final velocity when it hits the ground? (The box of supplies)

And what is the average vertical velocity of the box of supplies when it hits the ground!!

Answer 1

It will take 30 seconds to reach the ground, and it will be travelling at 294 m/s when it does so. This means that its average velocity was 147 m/s.

Step-by-step explanation:

`d=v_ot+(1)/(2)at^2`

Since the intial velocity of a dropped object is 0, we can make this the equation:

`d=(1)/(2)at^2 \\\\4410=\dfac{1}{2}(9.8)t^2 \\\\t^2=900`

`t=30\text{ seconds}`

The final velocity can be calculated with the formula:

`v_f=v_o+at`

Once again, since there is no initial velocity:

`v_f=at \\\\v_f=(9.8)(30)=294m/s`

Since the intial velocity is 0, the average vertical velocity is 294/2=147 m/s.

Hope this helps!