rosebat618Lv1
16 Oct 2021
Problem 20d
Page 23
Section 1.1: Four Ways to Represent a Function
Chapter 1: Functions and Models
Textbook ExpertVerified Tutor
16 Oct 2021
Given information
An airplane takes off from an airport and lands an hour later at another airport, miles away.
If represents the time in minutes since the plane has left the terminal building, let be the horizontal distance traveled and be the altitude of the plane.
Step-by-step explanation
Step 1.
It is known that the vertical velocity is either positive or negative, as it is a vector quantity.
When an airplane moves upward during takeoff, then the vertical velocity is positive.
When an airplane moves downward during landing, then the vertical velocity is negative.
When an airplane moves in a constant speed during the middle part of the journey, then the vertical velocity is zero.
The required rough sketch is:
From the above graph, we can observe that the upper part of the graph is the same as the lower part.