To calculate: The velocity and acceleration at time
Answer to Problem 11E
The velocity is
Explanation of Solution
Given information:
The function is.
Concept used:
The formula used is
Calculation:
The function is
Differentiate the function with respect to time
Differentiate the function
From the position function it is clear that the mean position is
The greatest velocity of the weight can be achieved when it is either
The acceleration is greatest when
Conclusion: So, the velocity is
Chapter 2 Solutions
CALCULUS-W/XL ACCESS
- 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