Small block A is sliding without initial velocity down the frictionless curve of

Question

Small block A is sliding without initial velocity down the frictionless curve of height H

as shown on the picture. The bottom part of the curve is made horizontal and is

positioned some height h above the ground. What should be this height h so that block

flies off the longest distance s? Find that distance.

http://snag.gy/SWNyf.jpg

The diagram is above, listed as Problem 1.

I have 4 other similar questions you can answer for Chegg points named "Simple Physics Question A"... "Simple Physics Question E."

Thanks for your time, and I look for complete, detailed answers with originality. :)

Explanation / Answer

velocity of block at height h , v = sqrt(2*g*(H-h))

let t is thentime taken to travel h distance in y-direction.

h = 0.5*g*t^2

t = sqrt(2*h/g)

now, horizonatl distance, S = v*t = sqrt(2*g(H-h))*sqrt(2*h/g)

S = 2*sqrt( h*(H-h) )

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