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.
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).