a.
To Find: The function in vertex form. Find the maximum height of the punt.
The maximum height is
Given:
Kickers foot
Height of the ball
Explanation:
From the function,
It is given that
Find the
Substitute
Substitute
Thus, the maximum height is
b.
To Find: The height the player can reach to block the punt if the nearest defensive player is
The player must reach
Given:
Kickers foot
Height of the ball
Explanation:
To block the punt, the player must reach as high as the height of ball.
Given the ball's height:
Since the player is
So, find the ball's height when
So, substitute
So, to stop the punt, the player must reach
c.
To Find: The distance the ball would go down the field before it hit the ground, if suppose the ball was not blocked but continued on its path.
The distance the ball would go down the field before it hit the ground is
Given:
Kickers foot
Height of the ball
Explanation:
From the given function
Substitute
Eliminate the negative value, since the distance cannot be negative.
So, the distance the ball would go down the field before it hit the ground is
Chapter 4 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education