Problem One: (Based on Chapra, Problems 5.1-5.4) Analytical solution can be used to predict the free fall velocity as a function of time: Cd Determine the drag coefficient needed knowing that an 80-kg bungee jumper will have a velocity of 36 m/s after 4 seconds of free fall. Start with initial guesses cd E [0.1,0.2]. The gravitational acceleration is g- 9.81 m/s a) Show two complete iterations using the bisection method. b) Solve for ca using the MATLAB function bisect. Your answer should achieve 5 significant figures. Report the final answers, .e. root, value of the function, approximate error and number of iterations. c) Redo part (b), for E.-1x10". d) Redo parts (a) to (c) using the False-position method (use falsepos for part b) e) Compare the number of iterations needed by the two methods for achieving the accuracy given in part (c),e &x103, by plotting them in a bar chart