As depicted in Fig. P5.15, the velocity of water, (m/s), discharged from a cylindrical tank through a long pipe can be computed as

where g = 9.81 m/s2 , H = initial head (m), L = pipe length (m), and t = elapsed time (s). Determine the head needed to achieve = 4 m/s in 3 s for a 5-m-long pipe (a) graphically, (b) by bisection, and (c) with false position. Employ initial guesses of xl = 0 and xu = 2 m with a stopping criterion of s = 1%. Check your results.

Note : only use python with explanation

v=2gHtanh(2L2gH) =IGURE P5.15