A particle with a mass of 0.240 kg is attached to a horizontal spring with a force constant of 6 N/m. At the moment t = 0, the particle has its maximum speed of 12.5 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.
b. Where in the motion is the potential energy three times the kinetic energy?
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.)
d. Find the length of a simple pendulum with the same period.