A system consists of three particles, each of mass \(m\) and located at \((1,1),(2,2)\) and \((3,3)\). The co-ordinates of the center of mass are :
A body is projected vertically upwards from the surface of the earth with a velocity equal to half the escape velocity. If \(R\) is the radius of the earth, maximum height attained by the body from the surface of the earth is