a.
To find the average velocity of the car during the first 12 seconds.
a.
Answer to Problem 14E
The average velocity of the car during the first 12 seconds is
Explanation of Solution
Given:velocity of the car during the first 12 seconds
Calculation:
Use the midpoint rule with
Use the graph to substitute the values of
Average of velocity:
Thus the average velocity of the car during the first
b.
Find the time of the instantaneous velocity equal to the average velocity.
b.
Answer to Problem 14E
The time of the instantaneous velocity equal to the average velocity is
Explanation of Solution
From part (a), know that average velocity is
Use the graph to see that the average velocity is
Chapter 6 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning