A continuous horizontal jet of fluid with density \(\rho = 1000\text{ kg/m}^3\) and constant cross-sectional area \(A = 5.0 \times 10^{-4}\text{ m}^2\) is directed perpendicularly toward a stationary, vertical flat wall. At the instant the fluid reaches the wall, its speed is given by the function \(v(t) = (3.0t + 1.0)\text{ m/s}\), where \(t\) is in seconds. Upon impact, the fluid loses all of its horizontal momentum and flows smoothly along the surface of the wall without splashing backward. What is the magnitude of the total impulse imparted to the wall by the fluid from \(t = 0\text{ s}\) to \(t = 2.0\text{ s}\)?