Consider a system of three equal mass particles moving in space; their positions are given by .
For particle 1, a1=3t^2+4,b1=0,c1=0
For particle 2, a2=7t+5,b2=0,c2=4
For particle 3, a3=2t,b3=3t+4,c3=t^2
Determine the position and velocity of the centre of mass as functions of time.