Pool Pockets
Problem Statement: In this POW you have to find the rebounds on a rectangular pool table (4 holes) with whole number distances.Every shot is shot at a 45 degree angle and always shot from the lower left corner and what pocket it lands in. Process: I started out by drawing many rectangles with each many different dimensions ( 2*3, 2*1, 4*10, 2*9, etc.) Then i did the actual problem /experiment and counted the rebounds on each rectangle, and each will be shot from the bottom left hand corner.Then when I finished counting the rebounds on each rectangle I made observations on each rectangle to see if there were any rules or formulas.(Proof In Google Drawings)
Solution: After looking at my graph paper over one more time I wrote down
Problem Statement: In this POW you have to find the rebounds on a rectangular pool table (4 holes) with whole number distances.Every shot is shot at a 45 degree angle and always shot from the lower left corner and what pocket it lands in. Process: I started out by drawing many rectangles with each many different dimensions ( 2*3, 2*1, 4*10, 2*9, etc.) Then i did the actual problem /experiment and counted the rebounds on each rectangle, and each will be shot from the bottom left hand corner.Then when I finished counting the rebounds on each rectangle I made observations on each rectangle to see if there were any rules or formulas.(Proof In Google Drawings)
Solution: After looking at my graph paper over one more time I wrote down