A nozzle is designed to accelerate the fluid from \(V_{1}\) to \(V_{2}\) in a linear fashion. That is, \(V=a x+b\), where \(a\) and \(b\) are constants. If the flow is constant with \(V_{1}=10 \mathrm{~m} / \mathrm{s}\) at \(x_{1}=0\) and \(V_{2}=25 \mathrm{~m} / \mathrm{s}\) at \(x_{2}=1 \mathrm{~m}\), determine the local acceleration, the convective acceleration, and the acceleration of the fluid at points (1) and (2).