Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 3: Derivatives - Additional and Advanced Exercises - Page 183: 9

Answer

See graph and explanations.

Work Step by Step

See graph; the speed started at zero and increased with time linearly due to the Earth's gravity. At the time when the parachute was opened, the air resistance caused a sudden change in the speed. In the case presented in the graph, the parachute had a strong effect and caused the speed to reduce exponentially with time and reach a constant speed before landing. Depending on the type of the parachute, it may also happen that the speed will keep increasing at a slower rate until the speed reaches a limit.
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