A particle moves on the x axis attracted toward the origin O on itwith a force proportional to its instantaneous distance from O. If it startsfrom rest at x = 5 cm and reaches x = 2.5 cm for the first time after 2 s, find (a) theposition at any time t after it starts, (b) the speed at x = 0, (c) the amplitude, period andfrequency of the vibration, (d) the maximum acceleration, and (e) the maximum speed.