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