Young Albert Jr$.$ takes a running start at a tire swing, which is hanging at rest. He jumps onto

the tire and rides it up to a height $$h above where the tire started, at which point he starts to

swing back down. Assuming Albert Jr$.$ has a mass of mA and the tire has a mass of mT you are

asked to calculate Albert$$s speed right before he jumped onto the tire. You may neglect the

mass of the rope.

a$)$ In terms of $$h$,$ mA and mT$,$ what is the speed vA$+$T of Albert Jr$.$ and the tire right after

Albert has jumped on$?$ What assumptions are you making and why?