Please create a MATLAB function named "fall_error" that takes as input (1) a time step for free fall in seconds and (2) the time of fall in seconds (in that order) and returns the error (in meters) that occurs when comparing the z discretization from lecture to the analytical solution from calculus. Write a script which calls the above function and creates a color map with one axis as the time step (in seconds) and one axis as the time of fall (in number of steps) and the color axis representing the error (in m). Please make this map at least 5x5 and add a short commentary on why your map makes sense (seems correct).