At the Olympic games, a $59\mathrm{.}2$ kg diver performs an inward straight dive in which she stands on the $10\mathrm{.}0$ m platform with her back to the water, then rotates in the forward direction and plunges $10\mathrm{.}0$ m downward into the $27\mathrm{.}5$C pool, briefly coming to a stop.

$($a$)$

What is the entropy change of the system of the diver and the swimming pool for the time interval beginning when the diver leaves the platform and ending when the diver has come to a stop? $($Give your answer in J$/$K$.)$

J$/$K

$($b$)$

The diver remains in the pool after her dive to watch the remainder of the Olympic event, and her core temperature slowly drops from $37\mathrm{.}0$C to $36\mathrm{.}0$C$.$ Assuming that the temperature of the swimming pool remains unchanged at $27\mathrm{.}5$C and that the diver does no work and does not metabolize any food during this interval, what is the change in entropy of the system of the diver and the swimming pool after her core temperature has reached $36\mathrm{.}0$C$?($Give your answer in J$/$K$.$ Assume the specific heat of the diver is equal to the specific heat of water, $4,186$ J$/($kg $$C$).)$

J$/$K