Implementing vector integration would be good. To replace physics.vector, you would need to write a sub-library (mostly in sympy.physics), that would build on top of sympy.vector by adding time-dependent variables. Have a look at the code of physics.vector module, to get an idea of the functionality you would need to build. I had written
code during GSoC 2013 to implement a Reference Frame on top of a simple vector module. That could be a starting point for you to design your potential work. While writing your proposal, get acquainted with the basic examples in physics.mechanics. This will help you make sure that your module satisfies all the current requirements of the mechanics package.