A rocket is launched vertically. At time t0, the rocket's engine shuts down, at which time it has reached an altitude of 500m, and is rising at a given velocity 125m/s. Gravity then takes over. The height of the rocket as a function of time is: 9.8 Create a function called height that accepts time as an input and returns the height of the rocket. Use this function in your solutions to parts b). Write a script with the following functionality: . a) Rocket Height b) Plot height vs time for times from 0 to 30 seconds. Use an increment of 0.5 in your time vector. Make sure to eive your graph an appropriate title and label the axis. 130.1296 m .Find the time when the rocket starts to fall back to the ground (do this without using the max or find functions) and label this point on your graph at the correct (x, y) coordinate with a message indicating the time and height of the rocket (as shown in the sample output). Set your axis appropriately so the message is clearly visible - make sure that if the variables in the question were to change your graph would still display correctly Remember to make use of variables in your program. . Timo (a)