   Chapter 1.1, Problem 22E ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

#### Solutions

Chapter
Section ### Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

# An airplane takes off from an airport and lands an hour later at another airport, 400 miles away. If t represents the time in minutes since the plane has left the terminal building, let x(t) be the horizontal distance traveled and y(t) be the altitude of the plane.(a) Sketch a possible graph of x(t).(b) Sketch a possible graph of y(t).(c) Sketch a possible graph of the ground speed.(d) Sketch a possible graph of the vertical velocity.

(a)

To determine

To sketch: The rough graph of the horizontal distance traveled x(t) by an airplane.

Explanation

It is given that x(t) denotes the horizontal distance traveled. Also, the airplane travels 400 miles in an hour. So, when the time increases, the number of miles traveled by the airplane increases

(b)

To determine

To sketch: The rough graph of the altitude of the plane, y(t) .

(c)

To determine

To sketch: A rough graph of the ground speed.

(d)

To determine

To sketch: A possible graph of the vertical velocity.

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