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?

(In reply to My uninfluenced solution by Tristan)

You claim that "Decreasing the acceleration will make the ending speed slower then it would have been." I think what you mean is that at the same time, the speed will be slower for a decelerating particle than it is for one that has constant acceleration.

There is no need to compensate by changing the initial speed (which is fixed in this case). Deceleration means that it takes the particle a longer time to reach the final velocity.

Posted by np_rt on 2004-05-09 12:20:32