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 = 0.26v + 0.0066v², where s is measured in meters and v in km/h. The linear term 0.26v 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 0.0066v² models the additional braking distance once they are applied. Find - ds at v = 45 and v = 100 km/h, and interpret the meaning of the dv derivative.

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 = 0.26v + 0.0066v², where s is measured in meters and v in km/h. The linear term 0.26v 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 0.0066v² models the additional braking distance once they are applied. Find - ds at v = 45 and v = 100 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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Question

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 = 0.26v + 0.0066v², where s is measured in meters and v in km/h. The linear term 0.26v 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 0.0066v² models the
additional braking distance once they are applied. Find -
ds
at v = 45 and v = 100 km/h, and interpret the meaning of the
dv
derivative.

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