Thanks Jamon,
I wrote in my answer, assuming that the altitude is high enough that that there is negligible orbital decay, to most efficiently dock the craft, only the thrust is to be applied in the direction of the space station for only a minimal time, so that a small velocity is required which eventually moves the spacecraft to the station. As approaching the station, the thrust is to be forced in the opposite direction for the exact same amount of time so that the ship would decelerate back to being stationary relative to the station. As the craft is now hovering on top of the station, the thrust is to be forced upwards relative to the space station floor for a minimal amount of time so that it can slowly move into docking mode.
I didn't know whether the 5000m is important and also don't know how docking looks like.
Great! Solid answer - I love that you notice that orbital decay
could play a role, I like that. One issue with your answer - If you speed up, will you be in the same orbit as the Space Station?
No! Speeding up would mean you break away from the earth's orbit, so your answer doesn't
quite work. Instead, what we need to do is apply forces such that we increase/decrease our orbital radius. To start, we apply a force to decrease our orbital radius. According to Kepler's 3rd Law, that will also
reduce our period, and thus, increase our orbital velocity! We start moving faster, kind of like we are moving to overtake the station on the inside. At the precisely correct moment, we apply another force to return to our initial orbit and dock with the station, having used our reduction in radius to speed ourselves up
Does that make sense? It's a little tricky to comprehend, but if you run it through your head a few times hopefully something clicks!! Once you understand the manoeuvre, it becomes a little easier to tie Kepler's Law into it (it is the reason it works)