Wednesday, January 17, 2007

Infinity Puzzle 1

Imagine a car running on a highway. There is a very high wall on both sides of the highhway.
Also, imagine that the car is not running exactly parallel to the wall, but at a slight (infinitesimally small) angle towards the wall.

Now, supposing that the highway is infinitely long, will the car ever crash into the wall ?
Or, will the car just brush the wall at some point ? Or, will it hit the wall and deflect towards the other side of the highway ?


Viswanath said...

As t-->infinity (where t is time), the car moves closer and closer to the wall. That's the most anyone can say about this situation.