The flight paths of two planes are shown in the figure below. After how long does it take t (hours) for the two planes to be closest to each other, and what is the distance S (thousands of miles)? (If it is known that the only solution obtained from the first derivative will minimize the distance, it is not necessary to use the second derivative to verify.) The two planes were initially separated by 1,000 miles

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
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The flight paths of two planes are shown in
the figure below. After how long does it take
t (hours) for the two planes to be closest to
each other, and what is the distance S
(thousands of miles)?
(If it is known that the only solution
obtained from the first derivative will
minimize the distance, it is not necessary to
use the second derivative to verify.)
The two planes were initially separated by 1,000 miles
Plane A is flying due south at 1.5 thousand miles per hour
Plane B is flying due west at 1,000 miles per hour
The distance between the two is S
Transcribed Image Text:The flight paths of two planes are shown in the figure below. After how long does it take t (hours) for the two planes to be closest to each other, and what is the distance S (thousands of miles)? (If it is known that the only solution obtained from the first derivative will minimize the distance, it is not necessary to use the second derivative to verify.) The two planes were initially separated by 1,000 miles Plane A is flying due south at 1.5 thousand miles per hour Plane B is flying due west at 1,000 miles per hour The distance between the two is S
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