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A particle with a mass of 0.220 kg is attached to a horizontal spring with a force constant of 10.78 N/m. At the moment t = 0, the particle has its maximum speed of 17.5 m/s and is moving to the left. (Assume that the positive direction is to the right.) (a) Determine the particle's equation of motion, specifying its position as a function of time. (Use the following as necessary: t.) X= x (b) Where in the motion is the potential energy three times the kinetic energy? x The response you submitted has the wrong sign. m (c) Find the minimum time interval required for the particle to move from x = 0 to x = 1.00 m. (Be sure to enter the minimum time and not the total time elapsed.) x Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. s (d) Find the length of a simple pendulum with the same period. x Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m