Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 1 - Limits and Their Properties - 1.4 Exercises - Page 82: 117

Answer

A) (graph) B) Yes, there does appear to be a limiting speed, and because the graph describes a falling object, this may be attributed to air resistance.

Work Step by Step

For part A, we graph the data in the table using time in seconds on the x axis (t) and speed in feet per second on the y axis (S) and then plotting the points. We can see that the graph begins to plateau at around 56 ft/s, indicating that (for part B) there is a limiting speed. Because the problem is describing a falling object, we must think of what could slow the acceleration of a falling object, one possibility is air resistance.
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.