Average vs Instantaneous Rates of Change Problem

  • Thread starter lolzwhut?
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Hello, all. I'm doing a review in the back of my Calculus book and need help on this particular problem. The book has the answer, but I don't understand how to get it. If someone can show me steps to solving this problem, it would be greatly appreciated.

Problem: The distance a person can walk in time t is given by d=√t where d is measured in miles and t is measured in hours.

A) Find the average velocity from t=1 to t=4.
B) Estimate the person's velocity at t=4 hours.

The answers to the problem are:
A) 1/3 MPH
B) 0.25 MPH

Homework Equations


Velocity=distance/time

Ending words:
So if anyone can show me the steps on solving this problem for both parts A and B, it would be greatly appreciated to not just me, but my knowledge itself...

Thanks in advance,
~Lolzwhut?
 

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