Concept explainers
(a)
To find:The equation of the parabola with its vertex at origin that models the road surface.
(a)
Answer to Problem 102E
The equation of the parabola is
Explanation of Solution
Given information:
Roads are often designed with parabolic surfaces to allow rain to drain off. A particular road that is
Calculation:
As clear from the figure given above the parabola is vertically downwards with vertex at origin and also it passes through the point
The general equation of the parabola is
Now substitute
Now substitute
Therefore, the equation of the parabola is
(b)
To calculate:The distance of the surface from the center of the road at the time of surface being
(b)
Answer to Problem 102E
The distance of the surface from the center of the road at the time of surface being
Explanation of Solution
Given information:
Roads are often designed with parabolic surfaces to allow rain to drain off. A particular road that is
Calculation:
As calculated in part(a), the equation of the parabola is
Now the height of the surface is
So,
Now substitute
Therefore, the distance of the surface from the center of the road at the time of surface being
Chapter 9 Solutions
Precalculus with Limits: A Graphing Approach
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