SOLUTION: : A clown is riding a single wheel cycle along a highwire from point a to point B. These tow points are the same height, however as the clwon cycles the highwire decrease in height

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: : A clown is riding a single wheel cycle along a highwire from point a to point B. These tow points are the same height, however as the clwon cycles the highwire decrease in height      Log On


   



Question 1144026: : A clown is riding a single wheel cycle along a highwire from point a to point B. These tow points are the same height, however as the clwon cycles the highwire decrease in height to a munimum point 2m above the ground. assume highwire represent parabolic curv.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A clown is riding a single wheel cycle along a highwire from point a to point B. These tow points are the same height, however as the clwon cycles the highwire decrease in height to a munimum point 2m above the ground. assume highwire represent parabolic curv.
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The heights of points A & B are not given.
The distance between A & B is not given.
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Is that intentional?
Do you want a parabola in terms of literal terms?
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For a parabola symmetrical about the y-axis:
Call the vertical distance from the level of A & B to the vertex h.
Vertex at (0,h)
Point A is (-d,0)
Point B is (d,0)
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The parabola is x%5E2%2Fa%5E2+-+h+=+0
d+=+a%2Asqrt%28h%29
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PS A cable subject only to its own weight does not form a parabola.
It forms a catenary curve.
Also, the weight of a person on a unicycle on a cable would form neither a parabola or a catenary. The weight of the person and the unicycle would have to be considered as well as the tension on the cable and the weight of the cable per unit length.
Not a "real world problem."
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PPS Clowns are useless. They are not funny.
Their only accomplishment is to frighten some children.