If there was a table with “infinite” dimensions, how far could a cue ball travel?
If there was a table with “infinite” dimensions, how far could a cue ball travel?
You must’ve drove your parents nuts when you were a kid....
...let’s have some parameters
If I'm not mistaken the parameters have been given. Somewhere in the neighborhood of .... infinite by infinite.
But if the dimensions were infinite by infinite, where would the corner be???
I'm no math expert, but if you called a ball in the corner pocket... it would never get there? Or how long would it take to get there?
What are we talking about here?
Can we delete this thread? My head hurts.
If this "infinite" table is perfectly level and absolutely frictionless, then the CB will eventually travel back towards you from the direction you hit it. Actually, it will oscillate back and forth from the point you made contact, for eternity.If there was a table with “infinite” dimensions, how far could a cue ball travel?
There is the story of Titanic Thompson who got a bet down that he could drive a golf ball a thousand or two thousand or five thousand yards on a level surface. He went down to a frozen lake (presumably without a covering of snow). That's a little different but a similar idea.If there was a table with “infinite” dimensions, how far could a cue ball travel?
Til it stopped.If there was a table with “infinite” dimensions, how far could a cue ball travel?
There is the story of Titanic Thompson who got a bet down that he could drive a golf ball a thousand or two thousand or five thousand yards on a level surface. He went down to a frozen lake (presumably without a covering of snow). That's a little different but a similar idea.
The speed of a table can be characterized as an equivalent uphill slope. A typical pool table is like a 1% slope. That is, the ball slows as if it is rolling on a frictionless surface but with a 1% incline against the travel of the ball. I like to take the reciprocal of that to get the nominal speed which would be 100. A fast carom table might have a speed of 200 (and a slope of 0.5%).
Given an initial speed, most high school physics students could figure out how far a ball would go on a long-enough table. The upper end of ball speeds is about 35MPH for a break shot and the upper end of table speeds is about 200 (as defined above). From those two numbers the physics proceeds like:
s= 1/2 * v^2 / a
where s is the distance traveled, v is the initial velocity, and a is the acceleration
a = g/200 (0.5% of the acceleration of gravity) = (9.8 m/s/s)/200
v = 35MPH = 15.6 meters per second
s = 1/2 * 15.6 * 15.6 / 9.8 * 200 in meters = 2483 meters
which is a little over a mile and a half.
This does neglect air friction which is significant at 35MPH.
I concur with the above.
If there was a table with “infinite” dimensions, how far could a cue ball travel?
If there was a table with “infinite” dimensions, how far could a cue ball travel?