Converging duct flow is modeled by the steady, two$-$dimensional velocity field of

problem $1$&$2$ :

vec$(V)=(u,v)=(U_a+bx)vec()-$byvec$()$

For the case in which $U_0=5f\frac{t}{s}$ and $b=4\mathrm{.}6s^{-1},$ consider an initially square fluid parcel of

edge dimension $0\mathrm{.}5$ ft $.$ At time $=0,$ the point at the lower left corner of the particle is

initially at $x=0\mathrm{.}25ft$ and $y=0\mathrm{.}75ft.$ Calculate and plot where the fluid parcel will be and

what it will look like at time $t=0\mathrm{.}2s$ later. $($Hint: Use the results of problems $1$ and $2$ and

fill out the following table for plotting$).$