Experimental data indicate that in a region downstream of a given louvered supply vent the velocity of the emitted air is defined by v = 0.18v₀/x, where v and x are expressed in m/s and meters, respectively, and v₀ is the initial discharge velocity of the air. For v₀ = 3.6 m/s, determine (a) the acceleration of the air at x = 2 m, (b) the time required for the air to flow from x = 1 to x = 3 m.

Fig. P11.27