A block can slide along an inclined plane in various directions (Fig. ). If it receives a certain initial velocity v directed downwards along the inclined plane, its motion will be uniformly decelerated, and it comes to rest after traversing a distance `l_(1)`. if the velocity of the same magntude is imparted to it in the upwards direction it comes to rest after traversing a distance `l_(2)`. At the botton of the inclined plane, a perfectly smooth horizontal guide is fixed. Determine the distance 1 traversed by the block over the inclined plane along the guide if the initial velocity of the same magnitude is imparted to it in the horizontal direction?