A transverse wave along a string is given by y = 2 sin ⁡ 2 π 3 t - x + π 4 , where, x and y are in cm and t in second. Find the acceleration of a particle located at x = 4 cm at t = 1 s .

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We know that v = d y d t = d d t 2 sin ⁡ 2 π 3 t - x + π 4 a = d v d t = d d t 12 π cos ⁡ 2 π 3 t - x + π 4 a = - 72 π 2 sin ⁡ 2 π 3 t - x + π 4 at t = 1 and x = 4 cm a = - 36 2 π 2 cm s - 2

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