Consider the incompressible flow of a fluid through a nozzle as shown. The area of the nozzle is given by \(A=A_{0}(1-b x)\) and the inlet velocity varies according to \(U=U_{0}(0.5+0.5 \cos \omega t)\) where \(A_{0}=5 \mathrm{ft}^{2}, L=20 \mathrm{ft}, b=0.02 \mathrm{ft}^{-1}, \omega=0.16 \mathrm{rad} / \mathrm{s}\) and \(U_{0}=20 \mathrm{ft} / \mathrm{s}\). Find and plot the acceleration on the centerline, with time as a parameter.

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