A particle (mass = 0.5) oscillates in simple harmonic motion (in 1D) with an amplitude of 0.05 meters and an oscillation period of 0.25 s. a) Find the frequency of oscillation. Write a "coordinate function" x(t), that describes these oscillations about equilibrium. What initial position and initial velocity did you choose? b) Sketch x(t) for 2 oscillations. Similarly sketch v(t). c) Find a(t) and show that the acceleration is directly proportional to the displacement. d) Find the system's effective "spring constant" stiffness. e) Find the particle's KE, PE and ME.