To find: The velocity of the ball when
Answer to Problem 13E
The velocity of the ball when
Explanation of Solution
Given:
The height (in feet) of the ball after t seconds is
The position function is,
Formula used:
The derivative
Calculation:
Obtain the velocity of the ball when time
Take the position function
Factorize the numerator,
Cancel the common term
Simplify further and obtain the velocity as follows.
Thus, the velocity of the ball at time
Chapter 2 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