1. Consider a wave of the form y(:c,t) = Acos(hm wt + o5) with A = 1m, A = 20m, T = 4s, and o = 0. (a) Determine an equation for y(:e,t = 0) by plugging in the relevant values for h, w, t, and gt, simplifying your equation as much as you can. Then graph the equation on the axes provided. Hint: it may be useful to plug in a: = 20, 15, 10... 20 m and mark those points on your ores before connecting them with a smooth curve. y (m) (b) Now determine an equation for y(:e,t = 1.0 s) and graph the equation on the axes provided. y (In) (c) Now determine an equation for y(5r:,t = 2.0 s) and graph the equation on the axes provided. y(m) [(1) Based on your graphs, what is the velocity of this wave? Be sure to include both the magnitude and direction (+m or :5) of this velocity in your