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?

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.