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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

The graph of the velocity function of a particle is shown in the figure. Sketch the graph of a position function.

Chapter 4.9, Problem 54E, The graph of the velocity function of a particle is shown in the figure. Sketch the graph of a

To determine

To sketch: The graph of a position function for the given velocity function.

Explanation

Given Data:

Refer to the Figure in the textbook for the given velocity function v(t) .

Write the expression for velocity function v(t) in terms of position function r(t) as follows.

v(t)=ddt[r(t)]

Integrate on both sides of the expression as follows.

v(t)dt={ddt[r(t)]}dt=r(t)

Rewrite the expression as follows

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