A 2.0 kg particle has a velocity of `vecv_1=(2.0hati-3.0hatj) m //s`, and a `3.0 kg` particle has a velocity `vecv_2=(1.0hati+6.0hatj)m//s`. How fast is the center of mass of the particle system moving?

Explanation

To find the velocity of the center of mass of the particle system, we can follow these steps:

### Step 1: Identify the masses and velocities of the particles
We have:
- Mass of particle 1, \( m_1 = 2.0 \, \text{kg} \)
- Velocity of particle 1, \( \vec{v_1} = (2.0 \hat{i} - 3.0 \hat{j}) \, \text{m/s} \)
- Mass of particle 2, \( m_2 = 3.0 \, \text{kg} \)
- Velocity of particle 2, \( \vec{v_2} = (1.0 \hat{i} + 6.0 \hat{j}) \, \text{m/s} \)
...