Consider a mass attached to a spring with constant k. The resistive force is f = -gv (g> 0 and v is the velocity). Let the initial position and the speed of the mass be x = 0 and Vo > 0, respectively. Assume g > 4mk. (a) Show the position of the mass as a function of time t. [6 marks] (b) Find the largest distance of the mass to the initial position. [7 marks] (c) Plot the schematic of position as a function of time t. [7 marks]