This is crossposted from the Math and Physics forum as well. I figured it would get more exposure in the Games forum.

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I'm trying to create a setup where you have a player that is controlled by clicking where you want them to move.

What I'd like to implement is a scenario where you click the mouse, and the player jumps toward the location that was just clicked. This in itself isn't terribly difficult, however I would also like to ensure that if I click above another body (a wall, for example), that the player will perform a jump that has him land on said body.

The image below helps explain a bit better, I hope:




The arrows B and C can both be accomplished by doing something like this:

Code:
hero.ApplyImpulse(new b2Vec2((mx - hx)*hero.GetMass(), (my - hy)*hero.GetMass()), hero.GetPosition());
Where mx, my are the mouse x/y coordinates and hx, hy are the hero's coordinates. This moves the hero toward the point clicked, but does not ensure that it is his stopping place. I want to be able to click at point B and have the hero jump/move toward that position but stop once he arrives. If I click at point C, I want the hero to jump no higher than the clicked point.

And, my biggest hurdle, I want to click point A and have the hero apply a high enough vertical impulse to be able to land on the wall.


What types of calculations/tracking should I create to make this happen? I don't need code written out for me, but really just the method to this madness.