Solution:
Given,
Velocity of centre of mass,
Similarly, acceleration of centre of mass,
Since, from above values, it can be seen that is parallel to , so the path will be a straight line.
Two particles of equal masses have velocities and . First particle has an acceleration while the acceleration of the other particle is zero. The centre of mass of the two particles moves in a path of
Given,
Velocity of centre of mass,
Similarly, acceleration of centre of mass,
Since, from above values, it can be seen that is parallel to , so the path will be a straight line.