Why does it take so long to get to the ISS? I don't understand why when first launched Space X's Dragon capsule had to orbit the Earth many times in order to match up with the ISS? Was this purely to match it's speed, or to get closer (as in altitude) to the ISS?
In the stages when it gets to about 200m, it seemed like it was able to go directly up to the ISS, how come it couldn't do that the entire way.
(Additionally, in Scifi movies you see smaller shuttles able to go directly to space stations in orbit, is that type if travel not possible?)
 A: In space you don't just "go somewhere".
You have to match orbits, while not wasting too much fuel.
If you're in a low circular orbit, and you want to get to a high circular orbit, it takes two tangential burns, one to elongate your orbit into an ellipse, and another at the high point of the ellipse to make it circular again.
This is called a Hohman transfer.
You may have to do this multiple times, depending on how much thrust you have.
If your orbit is in a different plane from the orbit of the space station, you have to wait until you reach the plane of the other orbit, then do a lateral burn. You may have to do this several times to change your orbit's angle sufficiently, each time having to wait another half-orbit.
EDIT: to give some perspective on this, if your orbit crosses the plane of the other orbit at an angle of 10 degrees, that means you are crossing that plane at about one mile per second.
(Orbit velocity times sin(10 degrees).)
If your rocket motor generates 1G of thrust, you need to run it around 2.5 minutes to get aligned with that plane. (5280/32/60)
REVISED:
If you're in the same orbit as your destination, but some distance behind it (say), the way you catch up is by getting into a lower orbit by a Hohman transfer, with greater angular velocity, and then another such transfer to get back to the original orbit.
This is called orbit phasing.
If you just accelerate toward the object, that would put you in an orbit that rises above the target, and then eventually falls further behind because it is a higher orbit.
