The rocket having mass $M$ is launched vertically with a trust force $.$

Assume that the mass of the rocket $M=1000$ and the gravity $g=9\mathrm{.}81$ are constant.

Derive the dynamic model of the rocket with the trust actuator, explain the mechanical problem with

a differential equation convert the differential equation you found to the s domain and find the

transfer function and draw the step response in matlab.