An object rolls down a smooth plane (whose angle and length are given) starting from rest. At the end of the plane it reaches horizontal rough surface, it rolls again on this surface and comes to rest. Given the friction coefficient how do we calculate the distance travelled by the object on the horizontal surface. We can calculate the object velocity at the end of the inclined plane (interface of the two surfaces). Now what happens? Should be consider for further calculation the speed of the object along the horizontal direction or the actual speed at the interface should be continued? And what are the reasons for this answer?