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I am trying to build a stickman in Flex who will
a) move across the screen with speed- based on slider value
b) do something different (jump/ sit down) when he reaches end of screen
I presume will need to switch between 3-4 images to simulate illusion of movement with parts of body moving. would this approach be right? Are there any similar examples I can learn from?
It depends on how realistic you want it to look.
What you are saying could probably work, but if you wanted to get it looking/behaving really nicely I would recommend the book "ActionScript Animation." There were a couple of chapters in the book about kinetics that walked you through building a man that walked/jumped etc with sliders that could control not only his speed, but gravity, body segments size, etc.
I read the first edition that was on ActionScript 2 but there is a new one for ActionScript 3.
edit
You would want to check out Chapter 13 Forward Kinematics: Making Things Walk