Concept explainers
a.
To find the maximum height of the ball.
a.
Answer to Problem 15P
The maximum height of the ball is 40 ft.
Explanation of Solution
Given information:
The distance between the ball and the goal-post is 25 yard (105 ft). The ball is being kicked at
The standard form of a
So, the formula of the axis of symmetry:
Here,
Now, comparing it with the standard form of the quadratic equation:
By applying the formula of the axis of symmetry:
So, the maximum horizontal distance covered by the ball is 60 ft.
Hence,
The maximum height of the ball is 40 ft.
b.
To check whether the ball crosses the goal-post crossbar or not.
b.
Answer to Problem 15P
Yes, the ball clears the goal-post crossbar by a margin of 7.5 ft.
Explanation of Solution
Given information:
The distance between the ball and the goal post is 25 yard (105 ft). The ball is being kicked at
When
So, the height of the ball when it crosses the crossbar is 17.5 ft.
Hence,
Yes, the ball clears the goal-post crossbar by a margin of 7.5 ft.
Chapter 7 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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