Concept explainers
(a)
Find the time for the ball is in the air.
(a)
Answer to Problem 36PPS
The ball was in the air for 3.8 seconds.
Explanation of Solution
Given:
The height of a golf ball in the air can be modeled by the equation
Concept Used:
Use a graphing calculator to graph the related function
Calculation:
Use a graphing calculator to graph the related function The positive x − intercept is 3.8. So, the ball was in the air for 3.8 seconds. | The graph of the equation: |
(b)
Find the maximum height of the ball.
(b)
Answer to Problem 36PPS
The maximum height of the ball is 59.25 feet.
Explanation of Solution
Given:
The height of a golf ball in the air can be modeled by the equation
Concept Used:
Now find the vertex of the parabola. Y − coordinate of the vertex is the maximum height.
Calculation:
Now find the vertex of the parabola. The vertex of the graph is about (1.875, 59.25). Y − coordinate of the vertex is the maximum height. So, the maximum height of the ball is 59.25 feet. |
(c)
Find the time when the ball will reach its maximum height.
(c)
Answer to Problem 36PPS
The ball reached its maximum height is about 1.9 seconds.
Explanation of Solution
Given:
The height of a golf ball in the air can be modeled by the equation
Concept Used:
The vertex of the graph is about (1.875, 59.25).
Calculation:
The x − value of the vertex is about 1.875.
So, the ball reached its maximum height is about 1.9 seconds.
Thus, the ball reached its maximum height is about 1.9 seconds.
Chapter 9 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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