Air flows steadily through a variable area pipe with a velocity of \(\mathbf{V}=u(x) \hat{\mathbf{i}} \mathrm{ft} / \mathrm{s}\), where the approximate measured values of \(u(x)\) are given in the table. Plot the acceleration as a function of \(x\) for \(0 \leq x \leq 12\) in. Plot the acceleration if the flowrate is increased by a factor of \(N\) (i.e., the values of \(u\) are increased by a factor of \(N\) ) for \(N=2,4,10\).

x (in.) u (ft/s) x (in.) u (ft/s) 0123 10.0 7 20.1 10.2 8 17.4 13.0 9 13.5 20.1 10 11.9 4 28.3 11 10.3 56 28.4 12 10.0 25.8 13 10.0