The velocity of water, v (m/s), discharged from a cylindrical tank through a long pipe can be computedas0 =2gH tanh✓2gH22 t)where g = 9.81 m/s2, H = initial head (m), L = pipe length (m), and t = elapsed time (s).a. Graphically determine the head needed to achieve v = 5 m/s, in 2.5 s for 4 m-long pipeb. Determine the head for v = 3.5 – 6.5 m/s (at 0.5 m/s increments) and times of 1.5 to 3.5 s (at0.5 s increments) via the bisection method with stopping criteria of 0.1% estimated relativeerrorC. Perform the same series of solutions with the regula falsi method where you choose the samestarting points and convergence toleranced. Which numerical method converged faster?
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