A point object traverses half the distance with velocity \( v_{0} \...

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A point object traverses half the distance with velocity \( v_{0} \). The remaining part of the distance is covered with velocity \( v_{1} \) for the half time and with velocity \( v_{2} \) for the rest half. The average velocity of the object for the whole journey is
(1) \( 2 v_{1}\left(v_{0}+v_{2}\right) /\left(v_{0}+2 v_{1}+2 v_{2}\right) \)
(2) \( 2 v\left(v_{0}+v_{1}\right) /\left(v_{0}+v_{1}+v_{2}\right) \)
(3) \( 2 v_{0}\left(v_{1}+v_{2}\right) /\left(v_{1}+v_{2}+2 v_{0}\right) \)
(4) \( 2 v_{2}\left(v_{0}+v_{1}\right) /\left(v_{1}+2 v_{2}+v_{0}\right) \)
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