Concept explainers
a.
To find the position function
a.
Answer to Problem 58E
Explanation of Solution
Given:
The acceleration for first three seconds is
Calculation:
Consider the rocket model. For the first three seconds
Integrating both sides as follows-
This implies that −
The graph for position function
The graph for velocity function
b.
To find the time at which rocket reaches its maximum height.
b.
Answer to Problem 58E
Explanation of Solution
Given:
The acceleration for first three seconds is
Calculation:
It is given that
Now substitute this value in the function as follows-
c.
To find time that does the rocket land.
c.
Answer to Problem 58E
Explanation of Solution
Given:
The acceleration for first three seconds is
Calculation:
To find the time to land set
Chapter 4 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