Use matlab show step by step

4) A rocket is launched vertically. At time t0, the rocket's engine shuts down. At that time, the rocket has reached an altitude of 500 m and is rising at a velocity of 125 m/s. Gravity then takes over. The height of the rocket as a function of time is 9.8 h(t) =- 't 125t + 500 for t > 0 Create a function height that accepts time as an input and returns the height of the rocket. Use your function in your solution to part b. Plot height vs. time for times from 0 to 30 seconds. Use an increment of 0.5 seconds in your time vector a) b)