The attitude dynamics of a rocket are represented by and state variable feedback is used where x1
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and state variable feedback is used where x1 = y(t), x2 = (t), and u = -x2 - 0.5x1. Determine the roots of the characteristic equation of this system and the response of the system when the initial conditions are x1(0) = 0 and x2(0) = 1. The input U(s) is the applied torques, and Y(s) is the rocket attitude.
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