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A student writes four different expression for the displacement y in a period motion y = a sin"(2 pi r)/(T)y = a sin vty = (a)/(t) sin"(t)/(a)y = (a )/(sqrt(2))[sin'(2 pi r)/(T)+ cos '(2 pi r)/(T)]where a is maximum displacement , x is the speed and T is the time period then dimensionally.
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