Concept explainers
To show: the path of the projectile is a parabola
Answer to Problem 41E
The trajectory the projectile is parabolic.
Explanation of Solution
Given:
Calculation:
For
On squaring both sides of
The equation
On dividing both sides by
On substituting the value of
On writing the equation
On substituting
On solving the parenthesis, we get
Therefore, we get
On adding
The left hand side of the above equation is a perfect square of
The equation
Therefore, the trajectory the projectile is parabolic.
Conclusion:
Therefore, the trajectory the projectile is parabolic.
Chapter 8 Solutions
Precalculus: Mathematics for Calculus - 6th 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