How Many Round Trips Can a Team Make?

[cyberjoek]

Let me start with my assumptions:

• A team will only use 110 seconds of the teleop period to score tubes, the remaining 10 seconds will be used for The Great Race.
• There is a total fixed cost of 10 seconds per lap for loading at the feeder station and dumping onto the Scoring Peg.
• All robots can place Ubertubes and logos on the top peg.
• The total travel distance each way is 50' out of the 54' of the arena.
• This exercise assumes all three bots on an alliance are the same and can achieve all aspects of the game.
• Minibot points aren't factored in any way.

Now onto the findings:
To get 1 logo piece robot must move at 1.00 ft/sec. Max Alliance Score: 54
To get 2 logo pieces robot must move at 2.22 ft/sec. Max Alliance Score: 72
To get 3 logo pieces robot must move at 3.75 ft/sec. Max Alliance Score: 84
To get 4 logo pieces robot must move at 5.71 ft/sec. Max Alliance Score: 96
To get 5 logo pieces robot must move at 8.33 ft/sec. Max Alliance Score: 102
To get 6 logo pieces robot must move at 12.00 ft/sec. Max Alliance Score: 108

Just for grins to get more than 6 (making up for other bots):
To get 7 logo pieces robot must move at 17.50 ft/sec.
To get 8 logo pieces robot must move at 26.67 ft/sec.
To get 9 logo pieces robot must move at 45.00 ft/sec.
To get 10 logo pieces robot must move at 100.00 ft/sec.