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An helicopter is flying at an elevation of h = 5 miles on a flight path that will take it directly over a radar tracking station. Let s = s(t) represent the distance (in miles) between the radar station and the helicopter. If s is decreasing at a rate of 100 miles per hour when s is 10 miles, what is the speed of the helicopter. dx Note, you are trying to find dt |r'(t)|, since speed is always positive. s(t) x(t) (a) Determine x = x(t) when s = 10. miles. (b) Write an equation in t relating the values on the triangle. Equation in t Implicitly differentiate the equation with respect to dx at the given moment, and dt t and determine ultimately the speed. (c) The speed of the helicopter is. Speed = miles per hour

An helicopter is flying at an elevation of h = 5 miles on a flight path that will take it directly over a radar tracking station. Let s = s(t) represent the distance (in miles) between the radar station and the helicopter. If s is decreasing at a rate of 100 miles per hour when s is 10 miles, what is the speed of the helicopter. dx Note, you are trying to find dt |r'(t)|, since speed is always positive. s(t) x(t) (a) Determine x = x(t) when s = 10. miles. (b) Write an equation in t relating the values on the triangle. Equation in t Implicitly differentiate the equation with respect to dx at the given moment, and dt t and determine ultimately the speed. (c) The speed of the helicopter is. Speed = miles per hour

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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An helicopter is flying at an elevation of h = 5 miles on a flight path that will take it directly over a radar tracking station. Let s = s(t) represent the distance (in miles) between the radar station and the helicopter. If s is decreasing at a rate of 100 miles per hour when s is 10 miles, what is the speed of the helicopter. dx Note, you are trying to find = |x'(t)|, since dt speed is always positive. s(t) x(t) (a) Determine x = x(t) when s = 10. miles. (b) Write an equation in t relating the values on the triangle. Equation in t Implicitly differentiate the equation with respect to dx -at the given moment, and dt t and determine ultimately the speed. (c) The speed of the helicopter is. Speed = miles per hour
Transcribed Image Text:An helicopter is flying at an elevation of h = 5 miles on a flight path that will take it directly over a radar tracking station. Let s = s(t) represent the distance (in miles) between the radar station and the helicopter. If s is decreasing at a rate of 100 miles per hour when s is 10 miles, what is the speed of the helicopter. dx Note, you are trying to find = |x'(t)|, since dt speed is always positive. s(t) x(t) (a) Determine x = x(t) when s = 10. miles. (b) Write an equation in t relating the values on the triangle. Equation in t Implicitly differentiate the equation with respect to dx -at the given moment, and dt t and determine ultimately the speed. (c) The speed of the helicopter is. Speed = miles per hour
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