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.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Topic Video
Question

can you help this question?

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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Data Collection, Sampling Methods, and Bias
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning