Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 13 - Section 13.1 - The Indefinite Integral - Exercises - Page 960: 67c

Answer

Explanation given below.

Work Step by Step

We rejected the negative solution, as $t$ represents time of flight. This time starts at $t=0$ (takeoff) and is positive thereon. A negative time makes no sense, as it is time before the actual flight. The $t=-24$ would be 'interpreted' as: 24 hours ago, the plane was in the US, and due to a negative tailwind, it took 24 hours to fly in the opposite direction of the one it is pointing to, effectively flying backward to touch down in Mexico at time $t=0 $. In other words, this is nonsense.
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