Let me make this clear, this is not a homework question, I'm just curious. So I know a common question is finding velocity as a function of time given force as a function of position. I was curious, however, as to go backwards, starting with position as a function of time, and then finding force as a function of position. Is it possible or is it something that needs to be measured, I was interested in calculating the work done by a force that was not explicitly given as a function of position, I guess you could say I'm trying to derive a way to calculate work given a position as a function of time, or even given force as a function of time. I'm assuming initial conditions are initial velocity is at rest and the acceleration increases at a linear rate, so the force is not constant. This is my first post here, so please try not to misconstrue this.