Concept explainers
Tofind :An equation for the path of the water.
Answer to Problem 67E
Explanation of Solution
Given information: Water is flowing from a horizontal pipe 48 feet above the ground. The falling stream of water has the shape of a parabola whose vertex (0,48) is at the end of the pipe (see figure). The stream of water strikes the ocean at the point
Calculation:
The standard equation of parabola is of form
where ( h,k ) is the position of vertex of parabola and a is distance of focus from vertex.
The position of vertex of the parabola is (0,48),so
h =0 and k =48
Therefore, equation of parabola is
The stream of water strikes the ocean at the point
Therefore, the point
Therefore, equation of parabola is
But, xcan not be negative, so equation for path of water is
Chapter 10 Solutions
EBK PRECALCULUS W/LIMITS
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning