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!

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

Hope this helps!