1. The thermal energy of particles go up when it's cold because when temperature goes down, the volume goes down, and the pressure goes up. But when it's hot the temperature goes up, the volume goes up, and the pressure goes down, and the thermal energy goes down.
2. Ice Cream melts on a warm sunny day because matter changes it's state depending on the formula stated in question 1 so when it's warm the ice cream will change it's state from a solid to a liquid.
http://www.word-detective.com/howcome/icecreammelt.html
3. When particles melt they get all jumpy (like gray's muffin joke) and they start to get scared in vibrate like the formula in statement 1
4. Condensation will occur when the humidity rate is near 100%
http://answers.yahoo.com/question/index?qid=20090322180353AA0fGFw
5. Sublimation occurs when a solid goes straight to a gas.
http://www.google.com/search?hl=en&rlz=1R2SUNA_enUS327&q=when+does+sublimation+occur&aq=0l&aqi=g-l1&aql=f&oq=when+does+sublimaation+occur&gs_rfai=
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