The velocity of the CM of the system of particles 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) = (summ _(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. **Understand the Definition**: The center of mass (CM) of a system of particles is a point that represents the average position of the mass distribution in the system. The velocity of the center of mass is defined as the rate of change of its position with respect to time.

2. **Position of the Center of Mass**: The position of the center of mass \( X_{cm} \) for a system of \( n \) particles can be expressed as:
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