A robot of 130 lbm with a friction coefficient of 1.0 on the carpet (a popular assumption) can accelerate at 1 g (given enough motor power, proper gearing, etc) or 32 ft/sec^2. That means it can achieve a speed of 16 ft/sec in 0.5 sec, during which time it will have traveled 4 feet. The drive train power (delivered to the ground) to accomplish this initial acceleration is 1,400 w.
If this bot is to hang a 180 degree turn and storm up the ramp to clobber the wall, the frictional force on the carpet to make the turn is: F = m * V^2 / R. The frictional force is again 130 lbf (mu of 1, 130 lbm ‘bot), and a turning radius of about 4’ takes the bot from park to about the center of the ramp. This result says the fastest the bot can corner is at about 11.3 ft/sec, at which point it spins out. At this speed it takes about 1.1 second to make the 180 degree turn, and then another 1.0 second to make it to centered on the top, if the same speed is assumed up the ramp.
So, physical limits to drive to the top say about 2 seconds, assuming the bot can deliver sufficient torque to (almost) spin its wheels from rest all the way up to 11.3 ft/sec. I will bet no autonomous bot will be able to hit the wall of containers in less than 3 seconds.
Dodd