Consider a classical simple harmonic oscillator (as defined in the readings') that consists of a fric- tionless particle of mass of m kilograms bound by a conservative restoring force with a magnitude of k newtons per meter of displacement from equilibrium. consider the case in which the particle is initially at rest but displaced from equilibrium by x1 meters and released at time t =0 seconds. clearly, the results must be presented symbolically in terms of the given values a what is the period of oscillation, т, in seconds, of the particle? b what is the marimum kinetic energy that the particle achieves, in j? at what position(s) does it achieve this kinetic energy? at what time(s) after release does the particle achieve marimum kinetic energys c what is the time-averaged potential energy of the particle? at what position(s) does it achieve this potencial energy? at what time(s) after release does the particle achieve this potential energy? d sketch the particle's position, momentum, potential energy, and kinetic energy as a function of time e sketch the spatial probability distribution of the particle, i. e., the function that describes where one is most likely to find the particle at an arbitrary time