A particle is travelling from point A to point B. These two points are separated by distance D. Assume that the initial velocity of the particle is zero.
Given that the particle never increases its acceleration along its journey, and that the particle arrives at point B with speed V, what is the longest time that the particle can take to arrive at B?
The Distance is irevalant. And no It can't slow down. The Journey coudl
take forever or nearly so. Using ΔX=V0t^2+.5at, you can rearrange that
to get the equation of T=√2ΔX/a and if your accelleration
was 1*10-∞ You would end up with some number soo small that it woulld
virtually be zero without encounterng that whole little division by
zero thing, because we're going to use 1*10-∞ as a number of incredibly
small value. This makes the answer √2ΔX/(1*10^-∞) which would end up
being as close to infinity as your could manage, so i guess that makes
the answer "Nearly forever", but because you can't have a portion of
forever, the answer is Forever.
What say you?
Posted by Bryce
on 2004-05-06 22:46:58