To graph: The equation that represent the trajectory of soft ball
Explanation of Solution
Given information:
The trajectory of soft ball is modelled by equation
Graph:
Consider the provided information that trajectory of soft ball is modelled by equation
Rewrite the equation as,
The steps to graph the equation are provided below,
Step 1: Press
Step 2: Enter the function
Step 3: Press the window
Step 3: Press the
The result obtained on screen is provided below,
Interpretation:
The graph is a parabola that opens downward. The vertex of the graph represent the maximum point of the function.
To calculate: The highest point and range of trajectory with help of graphing utility.
Answer to Problem 74E
The highest point
Explanation of Solution
Given information:
From a top of 100-foot tower a ball is thrown with a velocity of 28 feet per second.
Consider the provided information that trajectory of soft ball is modelled by equation
Rewrite the equation as,
The steps to graph the equation are provided below,
Step 1: Press
Step 2: Enter the function
Step 3: Press the window
Step 3: Press the
The result obtained on screen is provided below,
The graph is a parabola that opens downward. The vertex of the graph represent the maximum point of the function.
With help of arrow key move to highest point of the graph which is same as vertex of the graph.
Therefore, highest point of trajectory is approximately at
Next with help of arrow key move to point on the graph where y coordinate is 0 that is range of trajectory as height is 0 at this point.
Therefore, range of trajectory is approximately at
Thus, the highest point
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