yes
Yes, assuming that the environment in which the tea is "living" stays a constant temperature. Tea will cool at a constant rate, until it reaches the temperature of the environment (but it will not get any colder than this).
of course
No, putting hot tea in the fridge will not cool it down quickly. It is better to let it cool naturally before refrigerating to avoid temperature shock to the fridge.
same as water, numbnuts
because ti is not cool
tea cools very easily in a metal cup
Tea in a metal cup would cool down relatively quickly, since the metal cup wall conducts heat very well.
Adding sugar to tea will not cool it quicker. The rate of cooling is primarily influenced by the temperature difference between the tea and the surrounding environment, as well as the material and shape of the container holding the tea. Sugar dissolves into the tea, but it does not have a direct impact on the cooling process.
a garden tea party
A small amout in a cool dark container
To make iced tea quickly, brew a strong batch of hot tea, then pour it over ice to cool it down rapidly.