Wednesday, February 4, 2009

Statistics, Probability, Optimal Shot Diagram


We have created a diagram to show where we will have the best chance to score; take a look:






The court is 18m wide by 9m high
Key:
Brown=One Hand Shot
Blue=Basketball Shot
Green=Soccer Throw
Lines are dashed/struck through with a particular color to show the best throw if facing away.
There are 3 shooting stations for the team, bottom left, bottom right, and top middle. The shooting arcs overlap, and the hardest part to hit is when the robot is in the middle orange. Lines overlap to show our common shooting ground. The middle bottom orange and purple/brown is the outer reaches for any shot, which is best shot one hand or soccer.
The overlap zone is marked with a yellow or brown outline, and look like eyes slanted towards the nose.
We expect a diminishing of 20% of sitting down shots due to positioning and potential path, which we altered the arcs to be 80% of the standing up shots range.
The maximum shot range for shots is as follows: 6.5m for basketball, 10.5 for soccer, and 16.5 for overhand. They can be exceeded by some members of the shooting crew, but it is not common to the squad.
Shooting Rules and arc ranges:
0-2m: One Hand with Soccer towards
2-4m: Basketball with Basketball towards
4-5.5m: Basketball with Basketball towards
5.5-6.5m: Soccer with Soccer towards
6.5-8m: Soccer with Soccer towards
8-10m: One Hand with Overhand towards
Anything beyond is highly unlikely to score. Shot type is not best suited for all throwers, some may show excellence in a particular throw due to sports.



At our build session today we continued working on the hopper and decided to built its frame out of aluminum rather than plastic. We had to go buy more aluminum so we went to Home Depot. Upon returning, we measured out the sizes of each piece of aluminum and finalized the format. We will cut the aluminum and assemble the frame on Saturday.



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