The velocity of the CM of the sytem of particle can be represented as :

Options

A. `v _(CM) = ( sum m _(1) v _(1))/(m _(1))`
B. `v _(CM) = ( m _(1) v _(1))/(M)`
C. `v _(CM) = (sum m _(1) v _(1))/(M)`
D. None of the above

Explanation

To find the velocity of the center of mass (CM) of a system of particles, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Center of Mass (CM)**:
The center of mass of a system of particles is defined as a point that represents the average position of the mass distribution in the system. The position vector \( R_{cm} \) of the center of mass can be expressed as:
\[
R_{cm} = \frac{\sum m_i r_i}{M}
...