a rocket is 1 mile above thw earth in 30 seconds and 5 miles above the earth in 2.5 minutes what is the rockets rate of change in miles per second what about miles per minute ?

Respuesta :

Rate of Change:

At 1 mile in 30 seconds.
At  5 miles in 2.5 minutes.  2.5 minutes = 2.5*60 = 150 seconds.

Rate of change =   Change in height / Change in time

                            =   (h₂-h₁)/(t₂-t₁)

                            =   (5 -1) /(150 -30) = 4/120 = (1/30) = 0.0333 miles per second.

                             = (1/30) miles per second or 0.0333 miles per second.


To have the answer in miles per minute.

         (1/30) miles per second = (1/30) miles/second.

60 seconds = 1minute
1 second = (1/60) minute.

(1/30) miles/second  =  (1/30) miles/(1/60)minute
                                   =   (1/30) *60 miles / minute
                                   =    2 miles per minute.

Assuming a rocket is 1 mile above the earth in 30 seconds and 5 miles above the earth in 2.5 minutes what  will be:

•The rockets rate of change in miles per second is  0.033 miles/second

•The miles per minute 2 miles per minute

Calculation to determine the rockets rate of change in miles per second .

Given:

Rocket 1 miles above the earth=30 seconds

5 miles above the earth= 2.5 minutes or  150 seconds

Rocket rate of change in miles per second=(5miles-1 miles)/ (150 seconds-30 seconds)

Rocker rate of change in miles per second= 4/120 miles per second

Rocket rate of change in miles per second= 0.033 miles/second

Calculation to determine  the miles per minute

Miles per minute

4 miles change in 120 seconds=4 miles change in 2 minutes

Hence:

Miles per minute=4/2 miles per minute

Miles per minute=2 miles per minute

Inconclusion assuming a rocket is 1 mile above the earth in 30 seconds and 5 miles above the earth in 2.5 minutes what will be:

•The rockets rate of change in miles per second is  0.033 miles/second

•The miles per minute 2 miles per minute

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