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Total distance covered by the particle = 4A.
we divide this whole path in 8 intervals of A/2.
so, 5/8 oscillations means, it has already completed 1/2 oscillation(i.e. total dist. = 2A) and is half way to the other side i.e. A/2.
so, A/2 = Asinwt, w= 2pi/ T ,
substitute to get t= T/12.
now, total tym taken = tym to complete previous one half(2A) + tyn taken to complete A/2 = t/2 + t/12 = 7T/12
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