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 = 0.23v + 0.0058v², where s is measured in meters and v in km/h. The linear term 0.23v 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 0.0058v² models the additional braking distance once they are applied. Find ds at v = 55 and v = 95 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 = 0.23v + 0.0058v², where s is measured in meters and v in km/h. The linear term 0.23v 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 0.0058v² models the additional braking distance once they are applied. Find ds at v = 55 and v = 95 km/h, and interpret the meaning of the dv derivative.

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter9: Quadratic Equations And Functions

Section9.6: Graph Quadratic Functions Using Properties

Problem 9.104TI: A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the...

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