using conservation of energy
potential energy = energy stored by trampoline + energy loss due to air resistance
means, when the boy drops the ball, due to air friction, some value of its energy keep on dissipating, in downward motion and upward motion as well after bouncing up by trampoline.
so the height ball reached after bouncing must be less than the height from where the ball dropped.
moreover, if we consider the ideal ( or vacuum) case, if there is no loss due to air resistance, even then, the ball can reach max height upto the dropped height.
the ball never reach at higher level in any case, provided it must be dropped i. e. no initial velocity of kE given it in any way.
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Comment before rate in case any doubt, will reply for sure.. goodluck
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