a rocket is 1 mile above the earth in 30 seconds and 5 miles above the earth in 2.5 minutes. What is the rockets rate of change

Question

Kazeer [188]

3 years ago

12

a rocket is 1 mile above the earth in 30 seconds and 5 miles above the earth in 2.5 minutes. What is the rockets rate of change

in miles per minute?

Mathematics

1 answer:

enyata [817] · Answer 1 · 2021-12-05T11:33:52+03:00

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:

$Rate\ of\ change = \frac{Change\ in\ height}{Change\ in\ time}\\=\frac{h_2-h_1}{t_2-t_1}\\=\frac{5-1}{2.5-0.5}\\=\frac{4}{2}\\= 2\ miles\ per\ minute$

The rate of change is 2 miles per minute

Keywords: Rate of change, time

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