The rate of change is 2 miles per minute
Step-by-step explanation:
Given
Initial values for rocket
Height = h_1 = 1 mile
Time = t_1 = 30 seconds
As we have to alculate the rate in milea per minute, we will convert the time into minutes
So,
30 secs = 30/60 min = 0.5 min
Final Values:
h_2 = 5 miles
t_2 = 2.5 minutes
Rate of change is given by:
[tex]Rate\ of\ change = \frac{Change\ in\ height}{Change\ in\ time}\\=\frac{h_2-h_1}{t_2-t_1}\\=\frac{5-1}{2.5-0.5}\\=\frac{4}{2}\\= 2\ miles\ per\ minute[/tex]
The rate of change is 2 miles per minute
Keywords: Rate of change, time
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