A body of mass \(1 \, \text{kg}\) begins to move under the action of a time-dependent force \[ \vec{F} = (t \, \hat{i} + 3t^2 \, \hat{j}) \, \text{N}, \] where \(\hat{i}\) and \(\hat{j}\) are unit vectors along \(x\) and \(y\) axes. The power developed by the above force, at the time \(t = 2 \, \text{s}\), will be _____ W.