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4) A rocket with initial mass mo 150 burns fuel at the rate q1. The burn time b-45, the exhaust velocity of the burned fuel u-9000, the rocket's height at burnout Y 1633.72086, the rocket's velocity at burnout v-35377.91351, and the acceleration of gravity g32.2 The rocket's height, y, at time t is given by 2 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 of 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 like this h.. 15 000 t#23.66 height-15008.07 h 20000 t-27.18 height-20013.91 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