3) Based on data from a research group, a model for the total stopping distance of a moving car in terms of its speed is s= 0.24v + 0.0055v², where s is measured in meters and v in km/h. The linear term 0.24v models the distance the car travels during the time the driver perceives a need to stop until the brakes are applied, and the quadratic term 0.0055v² models the ds additional braking distance once they are applied. Find at v = 45 and v = 95 km/h, and interpret the meaning of the dv derivative.
3) Based on data from a research group, a model for the total stopping distance of a moving car in terms of its speed is s= 0.24v + 0.0055v², where s is measured in meters and v in km/h. The linear term 0.24v models the distance the car travels during the time the driver perceives a need to stop until the brakes are applied, and the quadratic term 0.0055v² models the ds additional braking distance once they are applied. Find at v = 45 and v = 95 km/h, and interpret the meaning of the dv derivative.
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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