Please use MATLAB to do the problem. And please write down the procedure and describe the result and contains. Thanks!

Rocket & Broken Telemetry: Velocity of a rocket can be computed using piecewise functions which account for varying mass (due to stages): 1112-51 030 0 otherwise Write a MATLAB program which outputs velocity from t = 1 to 50 (use an increment step of 1). You can use either MATLAB's in-built piecewise function or write it manually using conditional statements. Your telemetry system has been damaged during the launch due to excess vibrations, you don't know how high your rocket is going. However, displacement can be computed from the area under the velocity-time plot. Using MATLAB's inbuilt trapz function, modify your code to estimate the displacement and use a subplot to plot the velocity vs time and displacement vs time. (Note: trapz is the Trapezoidal numerical integration, different numerical integration schemes along with their pros and cons will be discussed in later modules. For now, think of it as a function which helps you calculate area under a curve.)