Problem $4(5$ points$)$: A bird is flying in a room with a velocity field of vec$($V$)=($u$,$v$,$w$)=0\mathrm{.}6$xvec$()+0\mathrm{.}2$tvec$()-1\mathrm{.}4$vec$($k$)(($m$)/($s$)).$ The room is heated by a heat pump so that the temperature distribution at steady state is T$($x$,$y$,$z$)=400-0\mathrm{.}4$y$-0\mathrm{.}6$z$-0\mathrm{.}2(5-$x$)^(2)($C$).$ Calculate the temperature change that the bird feels after $10$ seconds of flight, as it flies through x$=1$m $.$