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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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Section
BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

The figure shows the graphs of three functions. One is the position function of a car, one is the velocity of the car, and one is its acceleration. Identify each curve, and explain your choices.

Chapter 2.8, Problem 51E, The figure shows the graphs of three functions. One is the position function of a car, one is the

To determine

To identify: Each curves on the given graph and give proper explanation.

Explanation

Graph:

The given graph is shown as in Figure 1,

Observation:

Observe the graph of b and a carefully.

The point where a(t)=0 is the same point where graph of b(t) has horizontal tangent.

Recall that the derivative of a function is zero where the function has a horizontal tangent.

Therefore, a(t) is the derivative of the graph b(t). That is, b(t)=a(t).

Observe the graph of a and c carefully

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