A particle of mass `2kg` moving with a velocity `5hatim//s` collides head-on with another particle of mass `3kg` moving with a velocity `-2hatim//s`. After the collision the first particle has speed of `1.6m//s` in negative x-direction, Find
(a) velocity of the centre of mass after the collision,
(b) velocity of the second particle after the collision.
(c) coefficient of restitution.

Explanation

To solve the problem step by step, we will follow the given parts of the question one by one.

### Given Data:
- Mass of particle 1, \( m_1 = 2 \, \text{kg} \)
- Mass of particle 2, \( m_2 = 3 \, \text{kg} \)
- Initial velocity of particle 1, \( u_1 = 5 \, \hat{i} \, \text{m/s} \)
- Initial velocity of particle 2, \( u_2 = -2 \, \hat{i} \, \text{m/s} \)
- Final velocity of particle 1 after collision, \( v_1 = -1.6 \, \hat{i} \, \text{m/s} \)
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