A two$-$dimensional velocity field is given by the V $=($x$2$ y$2+$x$)$i $(2$xy$+$y$)$j in arbitrary units. At $($x$,$y$)=(1,2),$ compute $($a$)$ the acceleration ax and ay $,($b$)$ the velocity component in the direction $=400,($c$)$ the direction of maximum velocity, and $($d$)$ the direction of maximum acceleration.