Start your trial now! First week only $4.99!*arrow_forward*

BuyFind*launch*

4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 2.7, Problem 43E

To determine

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

Expert Solution

The curve *c* is position curve, *b* is velocity curve and *a* is acceleration curve.

**Graph:**

The given graph is shown as in Figure 1,

**Observation:**

Observe the graph of *b* and *a* carefully.

The point where

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

Therefore,

Observe the graph of *a* and *c* carefully.

The graph of *a* has both positive and negative values. Hence *a* can be either velocity or acceleration.

The points where the graph of *a* has horizontal tangent, the functional value of *c* is not zero at that point.

This implies that,

The only possibility is that *a* is the acceleration curve. This implies that

So,

Thus, *c* is position curve, *b* is velocity curve and *a* is acceleration curve.