Sure, sorry for the confusion. Yes, the hunter scenario best describes what I'm aiming for. I've edited the original post to make it clearer to anyone else who sees it.
Here are the equations governing the motions of the projectile and the target, and below those, the unknown and known...
Thanks for your response!
Only the target will be moving with a constant velocity, however. I probably wasn't clear enough in my statement of the problem. The projectile itself will have a fixed initial speed, but will undergo constant acceleration.
An example situation closer to what I'm...
Homework Statement
Find \vec{v}_{P} (initial velocity) for a projectile with an arbitrary\left\|\vec{v}_{P}\right\| (fixed initial speed), constant acceleration \vec{a}_{P}, and starting position \vec{p}_P so that it will intercept an object whose movement is described by the equation T(t)...