Three bodies `A`, `B` and `C` having masses `10kg`, `5kg` and `15kg` respectively are projected from top of a tower with `A` vertically upward with `10m//s`, `B` with `20m//s 53^(@)` above east horizontal and `C` horizontally southward with `15m//s`. Find
`(a)` Velocity of centre of mass of the system.
`(b)`Acceleration of centre of mass of the system.

Explanation

To solve the problem, we will break it down into two parts: finding the velocity of the center of mass and finding the acceleration of the center of mass.

### Given:
- Mass of A, \( m_A = 10 \, \text{kg} \)
- Mass of B, \( m_B = 5 \, \text{kg} \)
- Mass of C, \( m_C = 15 \, \text{kg} \)

### Velocities:
...