Two waves on a string are given by the following functions: y1(x, t) = 4 cos(20t − 30x) (cm) y2(x, t) = − 4 cos(20t + 30x) (cm) 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 interferedestructively, andwhatisthecorrespondingvalue of |ys| can you please explain the step and graph it please
Two waves on a string are given by the following
functions:
y1(x, t) = 4 cos(20t − 30x) (cm)
y2(x, t) = − 4 cos(20t + 30x) (cm)
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
interferedestructively, andwhatisthecorrespondingvalue
of |ys|
can you please explain the step and graph it please
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