Concept explainers
To find: The motion of the particle with the position
Answer to Problem 18E
The particle follows the elliptical motion.
Explanation of Solution
Given:
The value of
The value of the range is,
Calculation:
Consider the given interval,
Consider the given expressions,
The variation in the variable
Table 1
0 | 5 | |
1.4142 | 4.7071 | |
2 | 4 | |
1.4142 | 3.2929 | |
0 | 3 | |
3.2929 | ||
The required graph is shown in Figure 1
Figure 1
From the given equation
From the given equation
Then,
The above equation is for the eclipse
The above equation ranges from
This shows that the particle moves in the elliptical path that starts from
Chapter 1 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