(Use matlab code just )You work as a service engineer at a factory, the factory is composed of multiple floors, and contains two elevators. At some point elevator 1 was 5.5m above the ground and began moving down at speed of (0.5080/) , at the same time elevator 2 was 1.2m above the ground and began moving upwards at speed of (0.7620m/sec). You are required to perform the following tasks:

Task VI You work as a service engineer at a factory, the factory is composed of multiple floors, and contains two elevators. At some point elevator 1 was 5.5m above the ground and began moving down at speed of (0.5080m/sec), at the same time elevator 2 was 1.2m above the ground and began moving upwards at speed of (0.7620m/sec). You are required to perform the following tasks: a) Mathematically model the height of elevator 1 (yl) with respect to time (t) and name this equation "equation 1", also, mathematically model the height of elevator 2 (y2) with respect to time (t) and name this equation "equation 2". b) Write a Matlab code that plots both equation 1 and equation 2 on the same set of axes, use a proper grid, legend, axis labels and title. c) From the plot in part b, find at what time and height the elevators will cross each other's path. d) Write a Matlab code which calculates at what time and height the elevators will cross each other's path. e) Apply the "feedback system method" available in Matlab Simulink to find at what time and height the elevators will cross each other's path. f) Critically compare between multiple numerical solutions which you found at parts c, d and e