I’m working on this homework problem and am having trouble finding a way to explicitly solve for initial velocity. I got a hint from my professor that the final point should be at the top of the parabola, but I may have misunderstood him. We solved this using kinematics when we were on kinematics, but I am struggling to solve this using energy and the parabolic free fall range formula.
Using energy, and setting final at the top of the parabola, I get Ki = Ugf
Because this is projectile motion and x-y components are independent, I am subbing (vcos)^2 + (vsin)^2 into v for Ki. This is where I am stuck.
Any help is very much appreciated!