$($a$)$ Download the position$\_$data.txt file from UBlearns, and load the data into MATLAB $($you can use importdata$()$ command$).$ The dataset is $x,y$ coordinates in millimeters. Convert the dataset into meters.

$($b$)$ Write a MATLAB function called "FiniDiff$1$st$.$m$"$ to compute the first derivatives via finite difference of any given vector dataset, where the inputs of the function are the dataset. Write a similar MATLAB function called "FiniDiff$2$nd$.$m$"$ to compute the second derivatives via finite difference of the given vector dataset. Note that the sampling rate of the dataset is $100$ Hz $,$ therefore $h=t=0\mathrm{.}01s.$ You should setup the step size within the functions.

Hint: Consider using different finite difference methods on the first and last data points, and middle points.

$($c$)$ Use the MATLAB functions you wrote to perform finite difference on the position data to compute the $(x,y)$ components of the velocity and acceleration of the UAV. Then calculate the UAV speed and the magnitude of acceleration via the following equations:

$s=\sqrt[\phantom{2}]{V_x^2+V_y^2},a=\sqrt[\phantom{2}]{a_x^2+a_y^2}$

Note that the sampling rate of the dataset is $100$ Hz $,$ therefore $h=t=0\mathrm{.}01s.$

$($d$)$ Plot the computed $s$ and $a$ in one figure. Find out the maximum speed and acceleration $($using MATLAB's $)$ function$)$ and display them on screen.