A particle travels half of the distance ...

A particle travels half of the distance between A and B with a velocity `v_(0)`. During half of the time required to travel the remaining distance the particle moves with a velocity `v_(1)` and the rest with a velocity `v_(2)`. Find the average velocity of the particle.

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The correct Answer is:

`(2v_(0)(v_(1)+v_(2)))/(2v_(0)+v_(1)+v_(2))`

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