The 'centre of mass' of a body is a point at which whole of the mass of the body is supposed to be concentrated. The centre of mass of a two body system is- $X_{cm}=\frac{m_{1}x_{1}+m_{2}x_{2}}{m_{1}+m_{2}}$ where symbols have their usual meaning. The velocity of centre of mass is $V_{cm}=\frac{dX_{cm}}{dt}$
(1) Which of the following statement is false?
(2) If two particle of equal mass are placed at a distance 'd' apart, the centre of mass is located
(3) The motion of centre of mass of a system is determined by
(4) A body moving in a straight line explodes in 20 pieces. The path of centre of mass will be