How Do You Calculate the Bounce Distance R(H, h) for a Marble?

[USAfightr]

Homework Statement

A marble has been dropped from a given height H + h. There is a metal plate directly below the marble at height h. The marble drops and hits the plate which is at 45 degrees and lands a distance away, R. Find an equation for R(H,h), that is finding the distance the marble bounces in terms of the two heights.

Homework Equations

Position = Vx + Vot - 1/2gt^2

The Attempt at a Solution

I found that the time it takes to hit the bounce plate is sqrt(2H/g). Making the velocity at the bounce plate g*sqrt(2H/g).

I am having trouble finding the time of flight it takes from the bounce plate to the ground and then how to go about taking that and getting an equation for R(H,h).

 

[voko]

I am having trouble finding the time of flight it takes from the bounce plate to the ground and then how to go about taking that and getting an equation for R(H,h).

The time of flight to the ground is determined by the vertical component of the velocity. The horizontal displacement will then be given by the horizontal component of the velocity and the time.