An (infinitely small) ball starting out in the middle of a 5 pointed star table (outer 5 points - 10m radius..... inner 5 points - 5m radius) has a starting angle of a random value from 0 to 360 degrees. The ball is now set loose and travels around the table.

On average, how many sides will have been hit once the ball has travelled 1000m ?

And the killer question:

The ball has now got a 'real' size of 1m diameter and thus is affected in weird ways by colliding and bouncing off at tangents with the 'inner' 5 points etc.

Now how many sides on average will have been hit once the ball has travelled 1000m ?

Also, where are the most likely points that the ball will end up?

Extra added 'Argghhh' factor.

To make things even more wonderfully confusing, the star rotates at an ever increasing speed of half a revolution for every 10 metres the ball has travelled. These speed increases are in incremental 'jumps'. Observe:

0 revolutions per 10 metres of ball travel: (when the ball has travelled 0 - 10 metres)

0.5 revolutions per 10 metres of ball travel: (when the ball has travelled 10 - 20 metres)

1.0 revolutions per 10 metres of ball travel: (when the ball has travelled 20 - 30 metres)

1.5 revolutions per 10 metres of ball travel: (when the ball has travelled 30 - 40 metres)

etc. etc.

Now how many sides on average will have been hit once the ball has travelled 1000m ?

Haha, I am just getting warmed up guys.. PM me with the answer you came up with and I'll let you know what you have won..

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