A wave on a string is described by y1x, t2 = Acos1kx -

Chapter 15, Problem 15.14

(choose chapter or problem)

A wave on a string is described by y1x, t2 = Acos1kx - vt2. (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 = p>4k; (iii) x = p>2k; (iv) x = 3p>4k; (v) x = p>k; (vi) x = 5p>4k; (vii) x = 3p>2k; (viii) x = 7p>4k. For a particle at each of these points at t = 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.

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