Concept explainers
(a)
To find: The maximum height reached by the ball.
(a)
Answer to Problem 10E
The maximum height reached by the ball is
Explanation of Solution
Given information:
The height function of the ball is given by,
The maximum height of the ball is achieved when the velocity is zero.
The time required to reach the maximum height of the ball is achieved when the velocity is zero is calculated as,
The maximum height reached by the ball is calculated as,
Therefore, the maximum height reached by the ball is
(b)
To find: The velocity of the ball.
(b)
Answer to Problem 10E
The velocity of the ball on its way up and down are
Explanation of Solution
Given information:
The height function of the ball is given by,
The time required to reach the maximum height of the ball is achieved when the velocity is zero is calculated as,
The time required by the ballto reach
The velocity of the ball on its way up is calculated as,
The velocity of the ball on its way down is calculated as,
Therefore, the velocity of the ball on its way up and down are
Chapter 3 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