Python function overloading

I know that Python does not support method overloading, but I’ve run into a problem that I can’t seem to solve in a nice Pythonic way.

I am making a game where a character needs to shoot a variety of bullets, but how do I write different functions for creating these bullets? For example suppose I have a function that creates a bullet travelling from point A to B with a given speed. I would write a function like this:

    def add_bullet(sprite, start, headto, speed):
        ... Code ...

But I want to write other functions for creating bullets like:

    def add_bullet(sprite, start, direction, speed):
    def add_bullet(sprite, start, headto, spead, acceleration):
    def add_bullet(sprite, script): # For bullets that are controlled by a script
    def add_bullet(sprite, curve, speed): # for bullets with curved paths
    ... And so on ...

And so on with many variations. Is there a better way to do it without using so many keyword arguments cause its getting kinda ugly fast. Renaming each function is pretty bad too because you get either add_bullet1, add_bullet2, or add_bullet_with_really_long_name.

To address some answers:

1. No I can’t create a Bullet class hierarchy because thats too slow. The actual code for managing bullets is in C and my functions are wrappers around C API.
2. I know about the keyword arguments but checking for all sorts of combinations of parameters is getting annoying, but default arguments help allot like acceleration=0