Write an m-file (using Matlab) that uses the false position method to determine the mass of the bungee jumper with a drag coefficient (cd) of 0.25kg/m to have a velocity of 36m/s after 4s of free fall. (Note: acceleration due to Earths gravity is 9.81m/s2 ).

Solve the equation given for variable m.

Your m-file should prompt the user to enter the lower limit and upper limit and check if the initial guesses bracket a root. If not, your program should prompt the user for new guesses until the user provides values that do bracket the root.

Your m-file should then print the iteration number, xl, xu, xr and f(xr) for each iteration. Note that since you are printing values at each iteration, you should not write a function file for the false-position method. Rather, have the false-position code embedded in a regular m-file. Test your m-file for a precision of 0.005 using various initial guesses

F (m) = Squareroot gm/c_d tanh (Squareroot gc_d/m middot t) - v (t)