4) A rocket with initial mass mo=150 burns fuel at the rate q=1. The burn time bs45, the exhaust velocity of the burned fuel u=9000, the rocket's height at burnout yb=1633.72086, the rocket's velocity at burnout vb-35377. 91351, and the acceleration of gravity g-32.2 The rocket's height, y, at time t is given by Write a MATLAB program as follows: a) h will go from 15,000 to 40,000 in steps of 5,000 b) For each value of h, calculate and print the time required for the rocket to reach a height?f at least h and the exact height of the rocket after this amount of time. Use a step size of .01 for the time. The output of this program should look 1ike this: h-15000 t-23.66 height-15008.07 h-20000 t 27.18 height-20013.9:1 h-25000 t 30.24 height-25003.70 h-30000 t 32.99 height 30009.52 h 35000 t 35.49 height-35000.34 h- 40000 t-37.81 height-40016.21