2. A train is spotted 10 miles south and 8 miles west of an observer at 2:00 pm. At 3:00 pm the train is spotted 5 miles north and 16 miles east of the observer. a. How far did the train travel in the first hour? b. If the train continues at this pace where will it be in relation to the observer at 5:00 pm? c. Write a function that will give the train’s position at any given time. d. At 2:00 pm a biker is traveling due east and is next to the observer. If the biker is traveling at 10 mph does it collide with the train when the bike goes over the train tracks?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2. A train is spotted 10 miles south and 8 miles west of an observer at 2:00 pm. At 3:00 pm the
train is spotted 5 miles north and 16 miles east of the observer.
a. How far did the train travel in the first hour?
b. If the train continues at this pace where will it be in relation to the observer at 5:00 pm?
c. Write a function that will give the train’s position at any given time.
d. At 2:00 pm a biker is traveling due east and is next to the observer. If the biker is
traveling at 10 mph does it collide with the train when the bike goes over the train
tracks?

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