The position vertor of a particle varies with time as `overline(r)=overline(r_(0)t)(1-alphat)` where `overline(r)_(0)` is a contant 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?

The position vertor of a particle varies with time as `overline(r)=ove

1.	The position vertor of a particle varies with time as `overline(r)=overline(r_(0)t)(1-alphat)` where `overline(r)_(0)` is a contant 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?
Answer» Correct Answer - 8 `overline(r)=overline(r_(0))t(1-alphat)` `overline(r)=overline(r_(0))-2alpha t overline(r_(0))` `:. overline(v)=0` at `t=(1)/(2alpha)` `:.` distance travelled before coming to original position `:. r=2[overline(r_(0))/(4alpha)]=overline(r_(0))/(2alpha)` `:. k=8`

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