The velocity function of a car, measured in miles per hour, is modeled by 5 v(t) = 3t-5 0 ≤t ≤5 on Discuss the meaning of So v(t) dt Calculate the distance traveled by the car on the interval 5/3 ≤t≤5. What is the total distance 0 ≤ t≤5 traveled by the car over the entire interval ? Is this the same value as √ v(t) dt ? Explain why or why not.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.3: Solving Linear Equations
Problem 2TU: If you travel 300 miles on the first day and then drive v miles per hour for t hours on the second...
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The velocity function of a car, measured in miles per hour, is modeled by
5
v(t)
= 3t-5
0 ≤t ≤5
on
Discuss the meaning of
So v(t) dt
Calculate the
distance traveled by the car on the interval 5/3 ≤t≤5. What is the total distance
0 ≤ t≤5
traveled by the car over the entire interval
? Is this the same value as
√ v(t) dt
? Explain why or why not.
Transcribed Image Text:The velocity function of a car, measured in miles per hour, is modeled by 5 v(t) = 3t-5 0 ≤t ≤5 on Discuss the meaning of So v(t) dt Calculate the distance traveled by the car on the interval 5/3 ≤t≤5. What is the total distance 0 ≤ t≤5 traveled by the car over the entire interval ? Is this the same value as √ v(t) dt ? Explain why or why not.
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