A particle with a mass of 0.420 kg is attached to a horizontal spring with a force constant of 34.02 N/m. At the moment t = 0, the particle has its maximum speed of 22.5 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.)
(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.