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A point traversed half the distance with...

A point traversed half the distance with a velocity `v_(0)`. The remaining part of the distance was covered with velocity `v_(1)` for half the time, and with velocity `v_(2)` for the other half of the time. Find the mean velocity of the point averaged over the whole time of the motion.

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The correct Answer is:
(A)-q, (B)-p, q (C)-p, r, (D)-r, s
`[A] X=3t^(2)+2rArr V=(dx)/(dt)=6t rArr a=(d^(2)x)/(dt^(2))`
`[B] V=8trArr a=(dv)/(dt)=8`
[D] For changing the direction `6t-3t^(2)=0`
`rArr t=0, 2` sec
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