The picture attached shows the shape of a pulse on a stretched...

The picture attached shows the shape of a pulse on a stretched spring at the time t = 0. The displacement of the spring from its equilibrium position at that time is given by: F[x] = Ae^[-(x/b)^2] The pulse is moving in the positive x direction with a velocity v_0. (a) Sketch a graph showing the shape of the spring at a later time, t = t_0. Specify the height and position of the peak in terms of the symbols given. (b) Write an equation for the displacement of any portion of the spring at any time,y[x,t] (c) Sketch a graph of the velocity of the piece of the spring at the position x = 2b as a function of time.