I'm attempting to understand an issue that a mechanics student is having, and I was wondering if someone could break down this particle mechanics equation for me so I know where it fits in: V(x)=-A|x|^(n) The exact problem that they are dealing with is: A particle moves towards [x = 0] under the influence of a potential V( x ) = -A|x|^(n) (assume n > 0). The particle has barely enough energy to reach x = 0. For what values of n will it reach x = 0 in a finite time? Precisely, I need to know what values A, x, and n are supposed to represent. I'm not specifically a mechanics student, but these sort of things always spark my interest in a self-teaching direction.