I am taking a senior level analytical Mechanics course, which is very math based. I am having major difficulty in bridging the gap between what a given problem is asking for and manipulating the problem to solve it. I have had all the necessary math courses and did respectable, but now I feel as though I have never been really taught on how to apply that knowledge to solve real physics problems. It is being assumed that I know exactly what to do and I don't. How do I know when to integrate or differentiate or both for any given problem? Is there a good reference out there for just this sort of dilema? I really want to understand what to do and not just skate by. The problem below is indicitive of what I am trying to solve. I am not asking anyone to solve it as it is merely a reference. Any help would be very grateful. Given: F(x)=Fo+ct, Fo is independent of v Find x dot, and x.