?(a) What quantities are given in the problem?(b) What is the unknown?(c) Draw a picture

Chapter 3, Problem 13

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QUESTION:

(a) What quantities are given in the problem?

(b) What is the unknown?

(c) Draw a picture of the situation for any time \(t\).

(d) Write an equation that relates the quantities.

(e) Finish solving the problem.

A plane flying horizontally at an altitude of \(1 \ \mathrm{mi}\) and a speed of \(500 \mathrm{mi} / \mathrm{h}\) passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when the plane is \(2 \ \mathrm{mi}\) away from the station.

Equation Transcription:

Text Transcription:

t  

1

mi  

500 mi/h  

2 mi

Questions & Answers

QUESTION:

(a) What quantities are given in the problem?

(b) What is the unknown?

(c) Draw a picture of the situation for any time \(t\).

(d) Write an equation that relates the quantities.

(e) Finish solving the problem.

A plane flying horizontally at an altitude of \(1 \ \mathrm{mi}\) and a speed of \(500 \mathrm{mi} / \mathrm{h}\) passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when the plane is \(2 \ \mathrm{mi}\) away from the station.

Equation Transcription:

Text Transcription:

t  

1

mi  

500 mi/h  

2 mi

ANSWER:

Step 1 of 5

a) In this part (a) of the problem we are asked to list the quantities given in the problem. We don't need to solve anything just yet.

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