The velocity of water, v (m/s), discharged from a cylindrical tank through a long pipe can be computed as:

v= √2gH tanh (√2gH/2L. t)

where g = 9.81 m/s2, H = initial head (m), L = pipe length (m), and t = elapsed time (s). Develop a MATLAB script that

a. Plots the function f(H) versus H for H = 0 to 4 m (make sure to label the plot) and
b. Uses LastNameBisect with initial guesses of xl = 0 and xu = 4 m to determine the initial head needed to achieve υ = 5 m/s in 2.5 s for a 4-m long pipe.