   Chapter 3.9, Problem 13E

Chapter
Section
Textbook Problem

(a) What quantities are given in the problem?(b) What is the unknown?(c) Draw a picture of the situation for any time 1.(d) Write an equation that relates the quantities.(e) Finish solving the problem.A plane flying horizontally at an altitude of 1 mi and a speed of 500 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station.

(a)

To determine

To find: The quantities in the given problem.

Explanation

Given:

A plane flying horizontally at an altitude of 1 mi and a speed of 500 mi/h passes directly over a radar station.

Calculation:

If let t be time (in hours) and x be the horizontal dista

(b)

To determine

To find: The unknown.

(c)

To determine

To draw: The picture of the plane position at time t.

(d)

To determine

To write: The equation that relates the quantities.

(e)

To determine

To find: The rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station.

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