Two identical particles move towards each other with velocity 2 v and v respectively. The velocity of centre of mass is

Explanation

Given `m_(1)=m_(2)=m`
`v=2v` and `v_(2)=v`
`:.v_(CM)=(m_(1)v_(1)+m_(2)v_(2))/(m+m)` `=(2m-mv)/(2m)=(mv)/(2m)`
`=v/2`