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Concept explainers
(a)
Find the time for the ball is in the air.
(a)
![Check Mark](/static/check-mark.png)
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)
![Check Mark](/static/check-mark.png)
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)
![Check Mark](/static/check-mark.png)
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.
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Algebra 1
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