An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each other. One airplane is 75 miles from the point and has a speed of 450 miles per hour. The other is 100 miles from the point and has a speed of 600 miles per hour. (a) At what rate is the distance between the planes changing? Answer:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each other. One
airplane is 75 miles from the point and has a speed of 450 miles per hour. The other is 100 miles from the point and has a speed
of 600 miles per hour.
(a) At what rate is the distance between the planes changing?
Answer:
Transcribed Image Text:7 1 of page An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each other. One airplane is 75 miles from the point and has a speed of 450 miles per hour. The other is 100 miles from the point and has a speed of 600 miles per hour. (a) At what rate is the distance between the planes changing? Answer:
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