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Concept explainers
To find:
a. Parametric equations that model the position of the ball as a function of time.
![Check Mark](/static/check-mark.png)
Answer to Problem 54AYU
a. ,
Explanation of Solution
Given:
Mark Texeira hit a base ball with an initial speed of 125 feet per second at an angle of to the horizontal. The ball was hit at a height of 3 feet off the ground.
Formula used:
,
Calculation:
,
a.
To find:
b. How long is the ball in the air?
![Check Mark](/static/check-mark.png)
Answer to Problem 54AYU
b. secconds.
Explanation of Solution
Given:
Mark Texeira hit a base ball with an initial speed of 125 feet per second at an angle of to the horizontal. The ball was hit at a height of 3 feet off the ground.
Formula used:
,
Calculation:
,
b. The ball is in the air until , Solve:
or
The ball is in the air for seconds.
To find:
c. The horizontal distance that the ball travels.
![Check Mark](/static/check-mark.png)
Answer to Problem 54AYU
c. feet.
Explanation of Solution
Given:
Mark Texeira hit a base ball with an initial speed of 125 feet per second at an angle of to the horizontal. The ball was hit at a height of 3 feet off the ground.
Formula used:
,
Calculation:
,
c. Horizontal distance
feet.
To find:
d. When is the ball at its maximum height? Determine the maximum height of the ball.
![Check Mark](/static/check-mark.png)
Answer to Problem 54AYU
d. feet.
Explanation of Solution
Given:
Mark Texeira hit a base ball with an initial speed of 125 feet per second at an angle of to the horizontal. The ball was hit at a height of 3 feet off the ground.
Formula used:
,
Calculation:
,
d. The maximum height is at vertex of the quadratic function.
seconds.
Substituting the value in
feet.
To find:
e. Using a graphing utility, simultaneously graph the equations found in part (a).
![Check Mark](/static/check-mark.png)
Answer to Problem 54AYU
Explanation of Solution
Given:
Mark Texeira hit a base ball with an initial speed of 125 feet per second at an angle of to the horizontal. The ball was hit at a height of 3 feet off the ground.
Formula used:
,
Calculation:
,
e. Graph of the equation found in a.
Chapter 10 Solutions
Precalculus
Additional Math Textbook Solutions
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Glencoe Math Accelerated, Student Edition
Precalculus
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus: Early Transcendentals (2nd 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
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