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A car drives down a road in such a way that its velocity (in m/s) at time t(seconds) is v(t) =...

Question:

A car drives down a road in such a way that its velocity (in m/s) at time t(seconds) is {eq}v(t) = t^{1/2} + 5 {/eq}. Find the car's average velocity (in m/s) between t = 5 and t = 11.

Average value

The average value of a function f(x) over the interval (a, b) is

{eq}\displaystyle f_{avg}(x) = \frac{\int_a^b f(x)dx}{b - a} {/eq}

This is so because the defnite integration of a function over a period is simply the addition of the values of function over the time.

Answer and Explanation:

Given velocity function is {eq}\displaystyle v(t) = t^{\frac{1}{2}} + 5 {/eq}

The time is between 5 to 11 seconds

So the average value of...

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Law of Averages: Definition & Formula

from General Studies Math: Help & Review

Chapter 5 / Lesson 8
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