(adsbygoogle = window.adsbygoogle || []).push({}); A mouse is sitting at one end of an infinitely-stretchable rubber sheet that is initially one kilometer long. One end is nailed to a wall, and the other end is tied to a Japanese bullet train. The mouse begins to walk forward at a constant speed of 10 centimeters/second. At the same time the train begins to move forward at the constant speed of 100 meters/second, stretching the rubber sheet.

Question 1: Will the mouse ever reach the end?
Question 2: If so, how long will it take?

Showing all work and logic, the first person to correctly answer Q1 will receive 50,000 vBux. The first person to correctly answer Q2 will receive 250,000 vBux. The same person can, but does not have to, answer both questions.

I'm assuming the train tracks can't be infinitely stretched as it comes to an end at some point, right? If we are to stay inside Japan, then the train must come to a stop at some point. But idk, I'm going to say the mouse will reach the end. As far as the second part is concerned, I've no idea.

the mouse gets murdered by a cat so no it wont reach the end

As 420 said, the tracks will come to an end so the mouse would reach it but if the tracks were also infinite then the mouse would never reach the end, simply because it wouldn't travel fast enough. As for part 2, i was doing the working out until i split coke all over the paper i was working it out on :FU: but i was at 360 kilometres and the mouse hadn't reach the end so more than that! Probably completely wrong :yuno:

The tracks are considered infinitely long.

The mouse wont reach the end because the nail will be pulled out of the wall. If they'd used a screw instead the outcome would be different.

It's not a trick question guys. The sheet stays nailed to the wall, the tracks are considered infinite, nothing slows down or speeds up, no cats, etc.

If all are infinitely long, the train will meet the mouse, thus causing the train hitting the mouse

If knew where to start I would try to work it out. Maybe tomorrow I have a play around with some maths.
But being obvious going with no due to the fact the mouse is not fast enough to catch up to the train. If the speed was increasing for both they would hit the speed of light and catch up.
Think that a little too easy and obvious of a answer.