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.

Two particles A and B masses 1 kg and 2 kg respectivelty are projected in the same vertical line as shown in figure with speeds u_(A) = 200 m//s and u_(B) = 85m//s respectively. Initially they were 90 m apart. Find the maximum height attained by the centre of mass of the system of particles A and B, from the initial position of centre of mass of the system. Assume that none of these particles collides with the ground in that duration Take g = 10 m//s^(2)

A particle of mass m is thrown horizontally from the top of a tower and anoher particle of mass 2m is thrown vertically upward. The acceleration of centre of mass is

A particle of mass m is thrown horizontally from the top of a tower and anoher particle of mass 2m is thrown vertically upward. The acceleration of centre of mass is

A particle of mass m is thrown horizontally from the top of a tower and anoher particle of mass 2m is thrown vertically upward. The acceleration of centre of mass is

Two particles of masses 2 kg and 4 kg are approaching towards each other with ccelerations 1m//s^(2) and 2m//s^(2) , respectively, on a smooth horizontal suface. Then find the acceleration of centre of mass of the system and direction of acceleration of CM.

Two bodies of mass 4 kg and 5 kg are moving along East and North directions with velocities 5 m//s and 3 m//s respectively. Magnitude of the velocity of centre of mass of the system is