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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 = 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 dv at v = 45 and v = 100 km/h, 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 = 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 dv at v = 45 and v = 100 km/h, and interpret the meaning of the derivative.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 41E
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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 = 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 dv at v = 45 and v = 100 km/h, and interpret the meaning of the derivative.
Transcribed Image Text: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 dv at v = 45 and v = 100 km/h, and interpret the meaning of the derivative.
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