Suppose you are traveling on the freeway with a velocity of 65 mph when you notice traffic is stopped ahead of you. The graph below shows your velocity over the 12 seconds it takes you to come to a complete stop. v(t) Seconds a) If the traffic is stopped 1200 feet in front of you, will you crash into one of the stopped cars? Explain your reasoning. b) What is the rate of change of your velocity over this 12 second period? Miles per hour

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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Suppose you are traveling on the freeway with a velocity of 65 mph when you notice traffic is
stopped ahead of you. The graph below shows your velocity over the 12 seconds it takes you to
come to a complete stop.
v(t)
20
18
11
Seconds
a) If the traffic is stopped 1200 feet in front of you, will you crash into one of the stopped cars?
Explain your reasoning.
b) What is the rate of change of your velocity over this 12 second period?
uroy jad sauw
Transcribed Image Text:Suppose you are traveling on the freeway with a velocity of 65 mph when you notice traffic is stopped ahead of you. The graph below shows your velocity over the 12 seconds it takes you to come to a complete stop. v(t) 20 18 11 Seconds a) If the traffic is stopped 1200 feet in front of you, will you crash into one of the stopped cars? Explain your reasoning. b) What is the rate of change of your velocity over this 12 second period? uroy jad sauw
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