FIGURE P$3-130$

$4-6$ Consider steady flow of water through an axisymetric garden hose nozzle $(9$ Fig. P$4-6).$ Alone the centerline of the nozzle, the water speed increases from eerthance ${?}^{to}{?}^{\text{e}\text{x}\text{i}\text{l}}{?}^{as\text{s}\text{k}\text{e}\text{t}\text{c}\text{h}\text{e}\text{d}\text{.}}$ Measurments reveal that the centerline water speed increases parabolically through the nozzle. Write an equation for centerline speed $u(x),$ based on the parameters given here, from $x=0$ to $x=L$

$3$

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