Calculus: Early Transcendentals 9th Edition

Published by Cengage Learning
ISBN 10: 1337613924
ISBN 13: 978-1-33761-392-7

Chapter 3 - Applied Project - Where Should a Pilot Start Descent? - Page 209: 3

Answer

$l=64.5mi$

Work Step by Step

$k=860\frac{mi}{h^2}$ $h=35,000ft\times\frac{1mi}{5280ft}=6.629mi$ $v=300\frac{mi}{h}$ Minimum $l$ is at maximum vertical acceleration. $\frac{6hv^2}{l^2}=k$ $l^2=\frac{6hv^2}{k}$ $l=v\sqrt{\frac{6h}{k}}=(300\frac{mi}{h})\sqrt{\frac{6(6.629mi)}{860\frac{mi}{h^2}}}=64.5mi$
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