An acrobat of mass ma jumps upwards off a trampoline with an initial velocity vg . At a height h0, the acrobat grabs a clown of mass mg . Assume that the time the acrobat takes to grab the clown is negligibly small. a) What is the velocity of the acrobat immediately before grabbing the clown?
b) What is the velocity of the acrobat immediately after grabbing the clown?
c) How high do the acrobat and clown rise? How high would the acrobat go in the limit that the mass of the acrobat is much heavier than the mass of the clown?
d) If the acrobat missed the clown, how high would the acrobat go? How does this compare to your limit in part c)?