# Finding the point of impact between two object with constant velocity, where only angle is variable

Given two objects, A and B, with the following parameters:

$A_\mathrm{angle} = 30^\circ$

$A_\mathrm{velocity} = 10\ \frac{\mathrm m}{\mathrm s}$

$A_\mathrm{Timealive} = INF$

$B_\mathrm{velocity} = 15\ \frac{\mathrm m}{\mathrm s}$

$B_\mathrm{Timealive} = 3\mathrm{\ sec}$

And the starting point of the two (these are irrelevant as they are completely variable, with no constraints)

From this information i need to find the point of impact between the two (if any, given the velocity and time alive) and what angle B would have to be launched at to create an impact.

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Are A and B being launched toward each other? How far are A and B apart? –  echoone Jul 4 '12 at 19:50
The distance between A and B are variable, it could be 15m or 35km, they may or may not be launcher at each other. but a simple test before the real match could easily make sure that they are close enough, and that they are at an intersecting course. –  Delusional Logic Jul 4 '12 at 20:02
That means there are two variables, the launch-angle of B and its position relative to A. That makes the problem harder. I suggest fixing one of them and solving for the other. Note that the range of A and the range of B must overlap since their paths must at least cross each other. –  echoone Jul 4 '12 at 20:12
Indeed, Doing a simple test to see if they will ever be able to hit is rather simple (test for overlap) and i suppose i could fix one of them to 0,0, and then solve for the other, but i still am not able to find the angle. i can't get my head around this one. –  Delusional Logic Jul 4 '12 at 20:19