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 300 miles per hour. The other is 100 miles from the point and has a speed of 400 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
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 300 miles per hour. The other is 100 miles from the point and has a speed of 400 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
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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Transcribed Image Text: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 300 miles per hour. The
other is 100 miles from the point and has a speed of 400 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?
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