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=1.9v+0.064v^2, where s is measured in ft and v in mph. The linear term 1.9v models the distance the car travels during the time the driver perceives a need to stop until the brakes are applied. Find ds/dv at v=50 and v=70 mph, and interpret the meaning of the 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=1.9v+0.064v^2, where s is measured in ft and v in mph. The linear term 1.9v models the distance the car travels during the time the driver perceives a need to stop until the brakes are applied. Find ds/dv at v=50 and v=70 mph, and interpret the meaning of the derivative.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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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=1.9v+0.064v^2, where s is measured in ft and v in mph. The linear term 1.9v models the distance the car travels during the time the driver perceives a need to stop until the brakes are applied. Find ds/dv at v=50 and v=70 mph, and interpret the meaning of the derivative.
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