A bottlenose dolphin $($Tursiops truncatus$)$ is about $2\mathrm{.}5$ m long and has a mass of $250$ kg$.$ It can jump $3\mathrm{.}5$ m above the surface of the water while flipping nose$-$to$-$tail at $5\mathrm{.}6$ rad$/$s$,$ fast enough to complete $1\mathrm{.}5$ rotations before landing in the water. $($a$)$ How much energy must the dolphin generate to jump $3\mathrm{.}5$ m above the surface of the water? $($b$)$ If the dolphin$$s moment of inertia about its rotation axis is $,$ how much energy must the dolphin generate to rotate its body in this way?