A particle performs SHM with a time period T and amplitude a. The magnitude of average velocity of the particle over the time interval during which it travels a distance a2 from the extreme position is

The magnitude of displacement in the given time a interval = a2Time taken by the particle to cover a distance a2 starting from rest = T6Hence the magnitude of average velocity over given time interval is = a2T6 = 3aTHence the correct option is (c).