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The position vector of a particle varies...

The position vector of a particle varies with time as `overline(r)=overline(r_(0))t(1-alphat)` where `overline(r)_(0)` is a constant vector and `alpha` is a positive constant. The distance travelled by particle in a time interval in which particle returns to its initial position is `Kr_(0)//16alpha`. Determine the value of `K`?

A

`r_(0)//alpha`

B

`r_(0)//2alpha`

C

`sqrt(r_(0)^(2)(r_(0))/(alpha))`

D

`sqrt(r_(0)^(2) + (2r_(0))/(alpha))`

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The correct Answer is:
B
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