In the discussion about the sliding versus rolling motion of a can on a slippery slope, it is established that a sliding can reaches the bottom faster than a rolling can. This is due to the conversion of gravitational potential energy into translational kinetic energy, with rolling motion also involving rotational kinetic energy, which reduces the translational speed. The participants clarify that while both scenarios convert gravitational energy, the presence of rolling energy in the rolling can results in slower overall descent. The slope dimensions mentioned, 4cm high and 1.5 meters long, provide context but do not alter the fundamental physics involved. Ultimately, sliding is more efficient in this scenario, leading to a quicker arrival at the bottom.