Consider the velocity field vec$(V)=$Axy$*vec(i)-\frac{1}{2}A{y}^2*vec(j)$ in the $xy-$plane, where $A=0\mathrm{.}5m^{-1}{s}^{-1}$ and the coordinates are measured in meters. What is the magnitude of the acceleration of a fluid particle at point $(x,y)=(2,2)?$

a$.2\mathrm{.}82\frac{m}{s^2}$

b$.2\mathrm{.}00\frac{m}{s^2}$

c$.2\mathrm{.}23\frac{m}{s^2}$

d$.0\mathrm{.}00\frac{m}{s^2}$

e$.1\mathrm{.}41\frac{m}{s^2}$

$1\mathrm{.}00\frac{m}{s^2}$

g$.0\mathrm{.}71\frac{m}{s^2}$