The natural frequency of vibration of a person is found to be 5.2 Hz while standing on a horizontal floor. Assuming damping to be negligible, determine the vertical displacement of the person at time = 0.5s when the floor is subjected to a vertical harmonic vibration of frequency 5.3 Hz and amplitude 0.009m. Assume the mass of the person to be 73kg. Answer in m with 3 decimal places.
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