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An arc is in the form of a parabola with...

An arc is in the form of a parabola with its axis vertical. The arch is 10 m high and 5 m wide at the base. How high is it 2 m from the vertex of the parabola ?

Text Solution

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`x^2 = 4ay`
point A and B lies on parabola`x^2= 4ay`
put A `(5/2,10)` in the equation
`(5/2)^2 = 4 xx a xx 10`
`a= 25/(4 xx 4 xx10)= 25/160`
`a= 5/32`
`x^2 = 4 xx 5/32 xx y`
`x^2 = 5/8 y`
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