PLEASE CODE IN MATLAB

4. A bungee jumper is projected upward with an initial velocity v0. In this problem an upward velocity is considered positive. The height of the jumper, above the Earth's surface, is given by the following equation (which is the solution of a differential equation): z(t)=z0+cm(v0+cmg)(1+emct)cmgt where: g=9.81s2m,m=80kg,c=15ckg (linear coefficient of drag), z0=100m (initial height) and v0=55sm g=9.81;m=80;c=15;v=55;z=100;z=@(t)z+(m/c)(v+(mg)/c)(1exp((c/m)t))(mg/c)t; a) graph the function z(t) in the interval [0,10]. b) Determine the exact time at which the peak elevation is reached using two different optimization methods. c) Determine the maximum height reached.|