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 δh 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 δh, 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?

b) what is the initial speed va of albert jr. right before he jumps on the swing, in terms of va+t, ma, and mt? what assumptions are you making and why? don’t forget that little albert clings to the tire, making this a totally inelastic collision.

c) solve for va in terms of δh, ma, and mt.