The equation of a particle executing simple harmonic motion is given by x = sin π t + 1 3 m . At t = 1 s , the speed of particle will be (Given: π = 3 . 14 )

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Given, x = sin π t + π 3 Velocity v = d x d t = π cos π t + π 3 Now, at t = 1 s , v = π cos π + π 3 v = - π 2 = - 3 . 14 2 = - 1 . 57 m s - 1 ⇒ v = 157 cm s - 1

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