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MATLAB HELP Consider a car of mass M that varies according to y- D sin (ot). The car is equipped with springs and shock absorbers

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MATLAB HELP Consider a car of mass M that varies according to y- D sin (ot). The car is equipped with springs and shock absorbers and the vertical motion of the car is described by the following equation: d"y dt2 dy y(0) dy dt where M is the mass of the car (3000 lbm), y is the vertical displacement of the car in inches, t is the time in seconds, k is the spring constant (700 lbf/in), D is the amplitude for the variation in the contour of the road (2 im), o is the frequency of the variations of the road contour seen be the car (6 rad/sec) and s is the damping constant for the shock absorbers (160 Ibf-svin) Note that the speed of the car and the contour of the road determine o in this case and that the second term in the equation represents the effect of the springs and the third term represents the effect of the shock absorbers. Determine the variation in vertical velocity of the car as a function of time and plot the variation in vertical velocity of the car as a function of time I F

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