![Precalculus Enhanced with Graphing Utilities](https://www.bartleby.com/isbn_cover_images/9780321795465/9780321795465_largeCoverImage.gif)
Instantaneous Velocity of a Ball In physics it is shown that the height s of a ball thrown straight down with an initial velocity of from a rooftop 160 feet high is
where is the elapsed time that the ball is in the air.
(a) When does the ball strike the ground? That is, how long is the ball in the air?
(b) What is the average velocity of the ball from to ?
(c) What is the instantaneous velocity of the ball at time ?
(d) What is the instantaneous velocity of the ball at ?
(e) What is the instantaneous velocity of the ball when it strikes the ground?
![Check Mark](/static/check-mark.png)
To find: Instantaneous Velocity of a Ball In physics it is shown that the height of a ball thrown straight down with an initial velocity of from rooftop 160 feet high is,
where is the elapsed time that the ball is in the air.
a. When does the ball strike the ground? That is, how long is the ball in the air?
Answer to Problem 48AYU
Solution:
a.
Explanation of Solution
Given:
Calculation:
a. The ball strike the ground when .
discard the solution , the strikes the ground after .
![Check Mark](/static/check-mark.png)
To find: Instantaneous Velocity of a Ball In physics it is shown that the height of a ball thrown straight down with an initial velocity of from rooftop 160 feet high is,
where is the elapsed time that the ball is in the air.
b. What is the average velocity of the ball from ?
Answer to Problem 48AYU
Solution:
b.
Explanation of Solution
Given:
Calculation:
b. The average velocity of the ball from is,
![Check Mark](/static/check-mark.png)
To find: Instantaneous Velocity of a Ball In physics it is shown that the height of a ball thrown straight down with an initial velocity of from rooftop 160 feet high is,
where is the elapsed time that the ball is in the air.
c. What is the instantaneous velocity of the ball at time ?
Answer to Problem 48AYU
Solution:
c.
Explanation of Solution
Given:
Calculation:
c. The instantaneous velocity of the ball at time is the derivative : that is,
Replace . the instantaneous velocity of the ball at time t is,
![Check Mark](/static/check-mark.png)
To find: Instantaneous Velocity of a Ball In physics it is shown that the height of a ball thrown straight down with an initial velocity of from rooftop 160 feet high is,
where is the elapsed time that the ball is in the air.
d. What is the instantaneous velocity of the ball at ?
Answer to Problem 48AYU
Solution:
d.
Explanation of Solution
Given:
Calculation:
d. The instantaneous velocity of the ball at is,
![Check Mark](/static/check-mark.png)
To find: Instantaneous Velocity of a Ball In physics it is shown that the height of a ball thrown straight down with an initial velocity of from rooftop 160 feet high is,
where is the elapsed time that the ball is in the air.
e. What is the instantaneous velocity of the ball when it strikes the ground?
Answer to Problem 48AYU
Solution:
e.
Explanation of Solution
Given:
Calculation:
e. The ball strikes the ground when , the instantaneous velocity when is,
The velocity of the ball at is , the negative value implies that the ball is travelling downward.
Chapter 14 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
University Calculus: Early Transcendentals (4th Edition)
Precalculus
Calculus: Early Transcendentals (3rd Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
- 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
![Text book image](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781319050740/9781319050740_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780135189405/9780135189405_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337552516/9781337552516_smallCoverImage.gif)