If you have a read on the player you are in the pot with, that will factor into how you proceed with the hand. Since most tournaments we're referring to take place online, you rarely sit with the same people twice.
That being said, analyze the flop. Look at chip stacks, blind levels, etc. If the flop is possibly dangerous, it'd be smarter to bet a little higher than normal (1/2 - 2/3), so to make chasers fold. Maybe a pot-sized bet. There's nothing wrong with taking down a pot on the flop. Uncontested pots are great for your stack and great for your table image.
(Sidenote: It's always good to put a player note on someone when something out of the ordinary happens... or when something catches your eye. It'll help out tremendously if you find yourself in a questionable situation with that player down the road.)
__________________
|