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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) = \frac{1}{2}t+ 4. {/eq}. Find the car's average velocity (in m/s) between t = 3 and t = 7.

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 definite integration of a function over a period is simply the addition of the values of a function over time.

Answer and Explanation:

Given velocity function is {eq}\displaystyle v(t) = {\frac{1}{2}}t + 4 {/eq}

The time is between 3 to 7 seconds

So the average value of velocity...

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Law of Averages: Definition & Formula

from General Studies Math: Help & Review

Chapter 5 / Lesson 8
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