Problem 1 The velocity of water, v (m/s), discharged from a cylindrical tank through a long pipe can be computed as √√2gH v=V2gHtanh| 2L 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 pipe b. 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 (at 0.5 s increments) via the bisection method with stopping criteria of 0.1% estimated relative error c. Perform the same series of solutions with the regula falsi method where you choose the same starting points and convergence tolerance d. Which numerical method converged faster?