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Mar 26, 2017 at 22:38 comment added Ken G It sounds like you want object 2 to reach some sort of ideal ramming speed and then collide with object 1. The guts of such a calculation are the same as the above, just pick a reasonable seeming interval to get the collision, and find x1(t) and y1(t) for that interval, and pick any t within that interval. Then solve for the acceleration needed to get x2(t)=x1(t) and y2(t)=y1(t) at that t. If the acceleration is unreasonable, try a different interval.
Mar 26, 2017 at 18:46 comment added Vider7CC Again sorry that I'm clearing that up after you responded but thoughts on how to modify the approach for the unknown direction would still be very much appreciated.
Mar 26, 2017 at 18:30 comment added Vider7CC First of all thank you very much for the detailed response! To respond to your question about the intersection of paths or objects: Sorry, I just realized that wasn't clear at all in my question. I'm actually looking for a good position where O2 can intersect / collide with O1 so the direction of O2 isn't known at all and O2 is kinda trying to catch O1. So I guess that's a problem when I want to create the methods x2(t) and y2(t) because the direction depends on x1(t) and y1(t).
Mar 26, 2017 at 14:19 history edited Ken G CC BY-SA 3.0
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Mar 26, 2017 at 14:12 history edited Ken G CC BY-SA 3.0
added 244 characters in body
Mar 26, 2017 at 14:06 history edited Ken G CC BY-SA 3.0
added 244 characters in body
Mar 26, 2017 at 14:00 history answered Ken G CC BY-SA 3.0