Two particles of masses 2 kg and 4 kg are approaching each other with acceleration `1 ms^(-2)` and `2 ms^(-2)`, respectively, on a smooth horizontal surface. Find the acceleration of center of mass of the system.

Explanation

To find the acceleration of the center of mass of the system consisting of two particles with masses 2 kg and 4 kg, we can follow these steps:

### Step 1: Identify the masses and their accelerations
- Mass \( m_A = 2 \, \text{kg} \) with acceleration \( a_A = 1 \, \text{m/s}^2 \) (approaching in the positive direction).
- Mass \( m_B = 4 \, \text{kg} \) with acceleration \( a_B = 2 \, \text{m/s}^2 \) (approaching in the negative direction).

### Step 2: Assign directions for accelerations
- We will consider the direction of mass \( m_A \) (2 kg) as positive.
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