Ok, this question just might be impossible... took me all of a whopping 17 hours to do.. GL on it mates here are the Prizes: winner from Innoruuk will win 50,000pp, the runner-up will win 35,000pp, and when merge comes The Nameless winner will recieve 50,000,pp the runner up 40,000,pp ... Good Luck fellow players:
Here's a little chart:
Difficulty rating
(A score of 10/10 is literally impossible to work out)
Impossible Rating: 0.8/10
- Impossible Rating: 2.5/10 - 6.5/10
Impossible Rating: 4/10 - 5/10
Impossible Rating: 3/10
Impossible Rating: 4.5/10 - 5.5/10
Impossible Rating: 5/10 - 6.5/10
Impossible Rating: 6/10 - 7/10
Impossible Rating: 6/10
Impossible Rating: 7/10
Impossible Rating: 7.5/10 - 8.5/10
Impossible Rating: 9/10
Impossible Rating: 9.5/10
The one you are Attempting is 9.5/10 ....
Here is the Question... Once again GOOD LUCK ....You'll need it
The Snooker Table of Doom:
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 random angle from 0 to 360 degrees.
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 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?
Well,, There it is.. have fun mates
Some people tend to get over it sadly ...