A particle starts from rest and moves in a straight line. It travels a distance \(2L\) with uniform acceleration and then moves with a constant velocity a further distance of \(L\). Finally, it comes to rest after moving a distance of \(3L\) under uniform retardation. Then the ratio of average speed to the maximum speed \( \left( \frac{V_{avg}}{V_{m}} \right) \) of the particle is: