Chapter 6.1, Problem 1E

Reminder Round all answers to two decimal places unless otherwise indicated.

From New York to Miami Again The city of Richmond, Virginia, is about halfway between New York and Miami. A Richmond resident might locate the airplane in Example 6.1 using distance north of Richmond. Make the graphs of location and velocity of the airplane from this perspective.

EXAMPLE 6.1 FROM NEW YORK TO MIAMI

An airplane leaves Kennedy Airport in New York and flies to Miami, where it is serviced and receives new passengers before returning to New York. Assume that the trip is uneventful and that after each takeoff, the airplane accelerates to its standard cruising speed, which it maintains until it decelerates prior to landing.

Part 1 Describe what the graph of distance south of New York looks like during the period when the airplane is maintaining its standard cruising speed on the way to Miami.

Part 2 Say we locate the airplane in terms of its distance south of New York. Make possible graphs of its distance south of New York versus time and of the velocity of the airplane versus time.

Part 3 Say we locate the airplane in terms of its distance north of Miami. Make possible graphs of its distance north of Miami versus time and of the velocity of the airplane versus time.