Snooker Table
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Snooker Table
A 'snooker' table (measuring 8 metres by 4m) with 4 'pockets' (measuring 0.5m and placed at diagonal slants in all 4 corners) contains 10 balls (each with a diameter of 0.25m) placed at the following coords:
2m,1m...(white ball)
...and red balls...
1m,5m... 2m,5m... 3m,5m
1m,6m... 2m,6m... 3m,6m
1m,7m... 2m,7m... 3m,7m
The white ball is then shot at a particular angle from 0 to 360 degrees (0 being north, and going clockwise).
Just to make it clear, a ball is 'potted' if at least half of the ball is in area of the 'pocket'
Assuming the balls travel indefinitely (i.e. no loss of energy via friction, air resistance or collisions), answer the following:
a: What exact angle/s should you choose to ensure that all the balls are potted the quickest?
b: What is the minimum amount of contacts the balls can make with each other before they are all knocked in?
c: Same as b, except that each ball - just before it is knocked in - must not have hit the white ball on its previous contact (must be a red instead of course).
d: What proportion of angles will leave the white ball the last on the table to be potted?
2m,1m...(white ball)
...and red balls...
1m,5m... 2m,5m... 3m,5m
1m,6m... 2m,6m... 3m,6m
1m,7m... 2m,7m... 3m,7m
The white ball is then shot at a particular angle from 0 to 360 degrees (0 being north, and going clockwise).
Just to make it clear, a ball is 'potted' if at least half of the ball is in area of the 'pocket'
Assuming the balls travel indefinitely (i.e. no loss of energy via friction, air resistance or collisions), answer the following:
a: What exact angle/s should you choose to ensure that all the balls are potted the quickest?
b: What is the minimum amount of contacts the balls can make with each other before they are all knocked in?
c: Same as b, except that each ball - just before it is knocked in - must not have hit the white ball on its previous contact (must be a red instead of course).
d: What proportion of angles will leave the white ball the last on the table to be potted?
Trevin Gandhi- Novice Poster
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Join date : 2008-10-13
Re: Snooker Table
Well... i'm trying... ill post my guess later.
p.s. yes. it does belong under hardcore
p.s. yes. it does belong under hardcore
Steve- The Cool Cube
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Re: Snooker Table
Steve wrote:Well... i'm trying... ill post my guess later.
p.s. yes. it does belong under hardcore
i know its CRAZY hard.
Mira Holford- The Cool Cube
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Lol
I wonder if Archis can solve it.
Trevin Gandhi- Novice Poster
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Re: Snooker Table
CAN U EVEN SOLVE IT?
ps. who came up with it?
ps. who came up with it?
Steve- The Cool Cube
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Re: Snooker Table
Steve wrote:CAN U EVEN SOLVE IT?
ps. who came up with it?
idk who came up w/ it all i know is that it sounds RLY hard!!!!!
Mira Holford- The Cool Cube
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Re: Snooker Table
it doesn't just sound hard, it is hard.
Steve- The Cool Cube
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Mira Holford- The Cool Cube
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Steve- The Cool Cube
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