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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.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 7DE
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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.
Transcribed Image Text: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.
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