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The displacement of a particle on a vibrating string is given by the equation s(t) = 12 + * sin(1211) where s is measured in

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Griven that, s(t) = 12 + 7 / 2 sin (127e t) Differ erenti at ating 11 won.t t, we have ds dt d dt + I sin (1272+) a (12) += o *** (sin (1976:+) s (aztet). dt (128et) 1 / soo • by chain rule. = 7 / cos(125t) - 125 12 Te cos 272+) 11 5... The velocity of the particle after t seconds is u(t) ds dt 12 Тc cos os (127Ct) - cmls 5

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