A two$-$dimensional velocity field is given by V $=($x $2$ y $2+$ x$)$i $(2$xy $+$ y$)$j in arbitrary units. At $($x$,$ y$)=(1,2),$ compute $($a$)$ the accelerations ax and ay $,($b$)$ the velocity component in the direction $=40,($c$)$ the direction of maximum velocity, and $($d $)$ the direction of maximum acceleration.