Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 3 - Differentiation - 3.5 Higher Derivatives - Exercises - Page 136: 44

Answer

The descriptions in (a) and (b) could not apply to the figure.

Work Step by Step

The graph given in the figure is of position and time. It is a linear graph. So, the slope of the graph is constant. Since the slope of the position vs time graph is velocity. velocity is also constant. Acceleration is the rate of change of velocity with respect of time. Since velocity is constant. Acceleration is zero. The description in (a) suggests that the graph is of acceleration. So, the description in (a) could not apply to the figure. The description in (b) suggests that the graph is of velocity. So, the description in (b) could not apply to the figure. The description in (c) suggests that the graph is of position with acceleration zero. The description in (c) is correct. So, the description in (c) apply to the figure.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.