In an engine, a 200 g piston oscillates in a simple harmonic motion with displacement varying according to y(t) = 5.0 cos 2.001: where y is in meter and t is in second. (a) Write the expression for its velocity as a function of time, v(t). (b) Sketch the graph of velocity against time of the piston for the rst complete cycle starting from t = 0. (c) Calculate the maximum acceleration of the system. (d) Calculate the total energy of the system