MATLAB IS REQUIRED FOR THE PART I NEED.... I DO NOT NEED PARTS A AND B FIGURED OUT WHAT I NEED IS THE EXTRA CREDIT PART.... PLEASE TAKE SCREEN SHOTS OF THE CODE IN MATLAB

A jet fighter's position on an aircraft carrier's runway was timed during landing 1.00 t (sec) 0.55 1.7 2.3 3.2 3.8 185 208 249 261 x (m) 153 271 273 where x is the distance from the end of the runway. Estimate (a) velocity and acceleration using numerical differentiation at all the given time instances, (b) velocity and acceleration 2 sec after touchdown For extra credit, write a Matlab function to calculate the derivative based on the second order Lagrange polynomial for unevenly spaced data, and then solve the above problem using a script. (300 Points) Use the derivative formula based on the second order Lagrange polynomial, when x is the independent variable and the dependent variable f is a function of x: (x-xi)+ (x-x2) A jet fighter's position on an aircraft carrier's runway was timed during landing 1.00 t (sec) 0.55 1.7 2.3 3.2 3.8 185 208 249 261 x (m) 153 271 273 where x is the distance from the end of the runway. Estimate (a) velocity and acceleration using numerical differentiation at all the given time instances, (b) velocity and acceleration 2 sec after touchdown For extra credit, write a Matlab function to calculate the derivative based on the second order Lagrange polynomial for unevenly spaced data, and then solve the above problem using a script. (300 Points) Use the derivative formula based on the second order Lagrange polynomial, when x is the independent variable and the dependent variable f is a function of x: (x-xi)+ (x-x2)