Two waves on a string are given by the following functions:where x is in centimeters. The...

Two waves on a string are given by the following functions:

where x is in centimeters. The waves are said to interfere constructively when their superposition |ys| = |y1 + y2|maximum, and they interfere destructively when |ys| is a minimum.

(a) What are the directions of propagation of waves y1 (x,t) and y2(x, t)?

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(b) At t = (= (π/50) s, at what x location y do the two waves interfere constructively, and what is the corresponding value of | ys|?

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(c) At t = (π/50) s, at what locationx do the two waves interfere destructively, and what is the corresponding value of |ys|?