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