A signal suspected to be of the nominal form y (t) = 5 sin 1000 mV is measured by a first-order instrument having a time constant of 100 ms and K 1 V/V. It is then to be passed through a second-order amplifier having a K = 100 V/V, a natural frequency of 15,000 Hz, and a damping ratio of 0.8. What is the expected form of the output signal, y (t) ? Estimate the dynamic error and phase lag in the output. Is this system a good choice here? If not, do you have any suggestions?