Consider a system of two identical particles. One of the particles is at rest and the other has an acceleration 
The center of mass has an acceleration
We know that,
Particles are identical here, so m1=m2 & a1=a2.
So, 
1
Consider a system of two identical particles. One of the particles is at rest and the other has an acceleration The center of mass has an acceleration
We know that,
Particles are identical here, so m1=m2 & a1=a2.
So,