Problem 3. bungee jumps and root finding the analytic expression of the fall velocity

Problem 3. bungee jumps and root finding the analytic expression of the fall velocity v(t) of a mass m acted upon by an air drag c, at time t is given by mg tanm v(r) = lng tanh | ? fas, medical studies have established that a bungee jumper's chances of sustaining a significant vertebrae injury increase significantly if the fall velocity exceeds 36 m/s after 4 s of the fall. the bungee- jumping company wants you to determine the critical mass at which this criterion is exceeded given a drag coefficient of 0.32 kg/m. in video lecture 2 and textbook sect. 1.2, prof. kutz describes the algorithm of the bisection method for finding the roots of a function. modify bisection.m in textbook sect. 1.2 to find the critical mass by solving the root of the functionanh start from the interval [x,,x,-[100, 200]. terminate the teration when l (x) s10". store all the intermediate estimates xc's and the final solution as a column vector x ,x ' . hint: (i) set vo =36 ms", t4, g 9.81 ms 2, and c 0.32 kg m in your program. (ii) will the logical statement "if fc","work for f (x) ? (iii) initialize a storage variable x and append the new estimate xc to the right-hand side ofx in each iteration; (iv) you should converge in less than 20 steps next, use matlab's function fzero to solve f(x)-0. use fzero to find out how to use this function. start with the initial guess =100 and obtain the solution x, up to a precision of 10. save the colo5.dat using matlab's save -ascii command. hint: define a fiunction handle £ for fax) using matlab's anonymous function