Shock or strut depending on what kind of rear-end suspension it has.
Either that, or something is loose - control arm, or a bushing maybe.
See if anyone you know has any mechanical skill, and jack it up (put it on flat ground, and always use jackstands - NEVER get under a car on a jack). Pull the wheel off, and look for the 'untied shoestring' or obvious things.
Sitting still and with the weight off of it, you might not be able to find anything - the best bet then is to ask around friends and family if they can recommend a decent mechanic. Get quotes before doing anything - they might charge you for even looking at it, so get it all in writing before they lay one hand on it.
A good shade tree mechanic might be your best bet.
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