A wave on a string is described by y(x, t) =Acos(kx - wt).
(a) Graph y, vy' and ay as functions of x for time t = 0.
(b) Consider the following points on the string: (i) x = 0; (ii) x = π/4k; (iii) x = π/2k; (iv) x = 3π/4k; (v) x = π/k;(vi) x = 5π/4k; (vii) x = 3 π /2k; (viii) x = 7π/4k. For a particle at each of these points at f = 0, describe in words whether the particle is moving and in what direction, and whether the particle is speeding up, slowing down, or instantaneously not accelerating?