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The following equation represents standi...

The following equation represents standing wave set up in a medium ,
`y = 4 cos (pi x)/(3) sin 40 pi t`
where `x and y` are in cm and t in second. Find out the amplitude and the velocity of the two component waves and calculate the distance adjacent nodes . What is the velocity of a medium particle at ` x = 3 cm` at time `1//8 s`?

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