Often times, Animation does not require complicated frame by frame drawings...it might be as simple as a single object that retains the same shape but simply moves from one side of the stage (what flash calls the area you see during the movie) to the other side.
Alternatively, it might be an object that both moves and changes shape, such as a bouncing ball, but in a way that can be accurately predicted mathematically. What this means is that computer programs, such as Flash can accurately predict the intervening frames for just such an animation.
If you give it a beginning and an end frame, Flash can produce all the intervening frames for you in a process called "Tweening" as in in between.
Flash also has a tool called easing which allows you to effectively add acceleration or deceleration to the tween, meaning that the speed at which the object moves or changes will change during the course of the tween.
For a basic tutorial on Tweening in flash click the link:
http://www.flashkit.com/tutorials/Getting_Started/Frame_By-Robert_C-709/index.php
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