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Subject: How to get angle and speed to reach a movable point



Hi all,

I'm been trying to find a solution for this but my math skills are not
very high and I haven't found anything yet. I hope you guys may give me
some ideas.
The problem is the following:

- We have a 2D scenario.
- There are two points in there, A and B. For each point we know its
position (x,y), speed (V), and the current direction (0=BA to 360=BA)
- We know the maximum speed that A can reach. (Vmax)
- B may change its direction and speed at any moment. We don't know the
maximum speed that B may reach.

Problem:

We need to know what angle and speed A should follow to reach B in the
shortest amount of time possible. The algorithm will be called every
second, since B may be changing its position and angle at any time.

Any ideas?

I really appreciate your help.

Thanks


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