The velocity in a certain two-dimensional flow field is given by the equation

\[ \mathbf{V}=2 x \hat{\mathbf{i}}-2 y t \hat{\mathbf{j}} \]

where the velocity is in \(\mathrm{ft} / \mathrm{s}\) when \(x, y\), and \(t\) are in feet and seconds, respectively. Determine expressions for the local and convective components of acceleration in the \(x\) and \(y\) directions. What is the magnitude and direction of the velocity and the acceleration at the point \(x=y=2 \mathrm{ft}\) at the time \(t=0\) ?