At a given moment, a plane passes directly above a radar station at an altitude of 7 km. The plane's speed is 700 km/h. Let ℎ be the distance between the plane and the station through the air. (a) How fast is the distance between the plane and the station changing half an hour later? (Use decimal notation. Give your answer to three decimal places.) (b) How fast is the distance between the plane and the station changing when the plane passes directly above the station? (Use decimal notation. Give your answer to three decimal places.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
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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At a given moment, a plane passes directly above a radar station at an altitude of 7 km. The plane's speed is 700 km/h. Let ℎ be the distance between the plane and the station through the air.

(a) How fast is the distance between the plane and the station changing half an hour later?

(Use decimal notation. Give your answer to three decimal places.)


(b) How fast is the distance between the plane and the station changing when the plane passes directly above the station?

(Use decimal notation. Give your answer to three decimal places.)

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