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A particle traversed on third of the dis...

A particle traversed on third of 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 a velocity `v_(2)` for the remaining half of time. Assuming motion to be rectilinear, find the the mean velocity of the particle averaged over the whole time of motion.

A

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

B

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

C

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

D

`(3v_(0)(v_(1)+v_(2)))/(v_(1)+v_(2)+ 4 v_(0))`

Text Solution

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The correct Answer is:
D
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