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 150 miles from the point and has a speed of 900 miles per hour. The other is 200 miles from the point and has a speed of 1200 miles per hour. (a) At what rate is the distance between the planes changing? mph (b) How much time does the controller have to get one of the airplanes on a different flight path?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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 150 miles from the point and has a speed of 900 miles per hour. The other is 200 miles from the point and has a speed of 1200 miles per hour.

(a) At what rate is the distance between the planes changing?
mph

(b) How much time does the controller have to get one of the airplanes on a different flight path?
h
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