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A string vibrate according to the equati...

A string vibrate according to the equation `y = 5 sin ((pi x)/(3)) cos (40 pi t)` where x and y in cm's and t is in second.
(i) What is the equation of incident and reflected wave ?
(ii) What is the distance between the adjacent nodes ?
(iii) What is the velocity of the particle of the string at the position x = 1.5 cm when `t = (9)/(8) sec` ?

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