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The unit step response of a second order system is = 1-e-5t-5te-5t . Consider the following statements: 1. The under damped natural frequency is 5 rad/s. 2. The damping ratio is 1. 3. The impulse response is 25te-5t. Which of the statements given above are correct?

The unit step response of a second order system is = 1-e-5t-5te-5t . Consider the following statements: 1. The under damped natural frequency is 5 rad/s. 2. The damping ratio is 1. 3. The impulse response is 25te-5t. Which of the statements given above are correct? Correct Answer 1,2 and 3

C(s) = 1/s-1/s+5-5/(s+5)^2 C(s) = 25/s(s2+10s+25) R(s) = 1/s G(s) = 25/(s2+10s+25 ) w= √25 w = 5 rad/sec G = 1.

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