A police helicopter is flying due north at 100 mi/h and at a constant altitude of ; mi. Below, a car is traveling west on a highway at 75 mi/h. At the moment the helicopter crosses over the highway the car is 2 mi east of the helicopter. (a) How fast is the distance between the car and helicopter changing at the moment the helicopter crosses the high- way? (b) Isthe distance between the car and helicopter increasing or decreasing at that moment?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
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A police helicopter is flying due north at 100 mi/h and at a
constant altitude of ; mi. Below, a car is traveling west on
a highway at 75 mi/h. At the moment the helicopter crosses
over the highway the car is 2 mi east of the helicopter.
(a) How fast is the distance between the car and helicopter
changing at the moment the helicopter crosses the high-
way?
(b) Is the distance between the car and helicopter
or decreasing at that moment?
increasing
Transcribed Image Text:A police helicopter is flying due north at 100 mi/h and at a constant altitude of ; mi. Below, a car is traveling west on a highway at 75 mi/h. At the moment the helicopter crosses over the highway the car is 2 mi east of the helicopter. (a) How fast is the distance between the car and helicopter changing at the moment the helicopter crosses the high- way? (b) Is the distance between the car and helicopter or decreasing at that moment? increasing
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