A buoy oscillates in simple harmonic motion y = Acos(ωt) as waves move past it. The buoy moves a total of 3 feet (vertically) from its low point to its high point. It returns to its high point every 4 seconds. (a) Write an equation describing the motion of the buoy if it is at its high point at t = 0. y(t) = (b) Determine the velocity of the buoy as a function of t. v(t) =