Developapproximate state space modelof a rocket vehicle (Space Shuttle at launching) movingvertically above the earth The vehicle thrust iswhere in is the rate of mass expulsion andcan be controlled. Assume a.. drag face is give;J = K ma nonlinear function of velocity.+-h(t).1WeightThrust↑Drag.let the instantaneous mass ofthe vehicle be m(t)and the drag D = f(W)theAssuming an inverse.squaregravity law and Newton's.second law, first write.....differential equation thatdescribe the system (ise, thedynamic force balance equation)(Note that this is a nonlinear,time-variable system)

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Answered: Develop an approximate state space.…

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