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=1.8v+0.052v2, where s is measured in ft and v in mph. The linear term 1.8v 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 0.052v2 models the additional braking distance once they are applied. Find dsdv at v=55 and v=80 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=1.8v+0.052v2, where s is measured in ft and v in mph. The linear term 1.8v 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 0.052v2 models the additional braking distance once they are applied. Find dsdv at v=55 and v=80 mph, and interpret the meaning of the derivative.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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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=1.8v+0.052v2,
where s is measured in ft and
v
in mph. The linear term
1.8v
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
0.052v2
models the additional braking distance once they are applied. Find
dsdv
at
v=55
and
v=80
mph, and interpret the meaning of the derivative.
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