please use matlab for this question

planet, and each row a different hill height. 6.7 A rocket is launched vertically. At time -0, the rocket's engine shuts down t 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 function of time is 9.8 h(t)-- 12 + 125t + 500 for t > 0 o (a) Create a function called height that accepts time as an input and returns the height of the rocket. Use your function in your solutions to parts b and c. 0.5 second in your time vector function will be helpful in this exercise.) (b) Plot height vs. time for times from 0 to 30 seconds. Use an increment of (c) Find the time when the rocket starts to fall back to the ground. (The max