Collision Theory

[alaslipknot]

Hello everyone,
i already post a similar problem in newbie and debugging section, but that one was a real trouble that make make game unplayable.
this time i want to ask a simple question,
making something like this:
“if they collide, then do what ever you want”
is that all i need to have a “correct collision system” in my game ?
am talking here about bugs similar to this one

http://s20.postimg.org/hn4jc2q49/image.png

in that image the white rectangle stopped moving to the right cause “he” is supposing that “he” already hit the wall.
in the old post about this subject, member “thebebinator” said this :

One thing I found that helped with my collision detection, is that if the rectangle moves more than half it’s smallest dimension, I would split the moves into parts that equaled less than half that distance. So if the rectangle is (WxL) 10x10, and it moved 50 units that cycle, then I would split it up into 10 smaller moves, and run a collision detection on each one. One problem with that is that it does increase the amount of calculations considerably, but it lets you catch cases where you get too far past the bounds before catching it. I’m not sure if this answers your question exactly, but might help out a bit.

Adam

which i found it correct theoretically but i never tried it.
anyway,
i hope i wasn’t saying nonsense crap but am really sure that am not the only one who faced this problem :

thank you very much