Concept explainers
(a)
The parametric equations of the path of the arrow.
(a)
Answer to Problem 96E
The parametric equations of the path of the arrow are
Explanation of Solution
Given information:
The given parametric are.
Calculation:
Calculate the equation of horizontal displacement.
Therefore, the parametric equations of the path of the arrow are
(b)
The distance travels by arrow before it hits the ground.
(b)
Answer to Problem 96E
The distance travels by arrow before it hits the ground is
Explanation of Solution
Given information:
The given parametric are.
Calculation:
Let the ground to be level. Therefore, the arrow hits the ground after covering horizontal range.
The distance travelled is.
Therefore, the distance travels by arrow before it hits the ground is
(c)
The maximum height of path ofthe arrow profile using the graph.
(c)
Answer to Problem 96E
The maximum height of path ofthe arrowis
Explanation of Solution
Given information:
The given parametric are.
Calculation:
The graph of the path of the arrow is shown in figure (1).
Figure (1)
From the above graph, the highest height is.
The maximum height of the projectile using the above graph shown in figure (1).
Therefore, the maximum height of path ofthe arrowis
(d)
The total time of the arrow in the arrow.
(d)
Answer to Problem 96E
The total time of the arrow in the arrowis
Explanation of Solution
Given information:
The given parametric are.
Calculation:
Th arrow is in the air during the time of flight.
The maximum range of the projectile using the above graph shown in figure (4).
Therefore, the total time of the arrow in the arrowis
Chapter 10 Solutions
EBK PRECALCULUS W/LIMITS
- 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