It depends on its weight and the height from which it is dropped, hence, these are factored into the formula.
Drop a heavy object from a tall building together with a light object, and you'll find (Gallileo) the heavy object lands nearer to the point from which it is dropped than the lighter object. this is the stop distance that helps you have a picture of the force of its impact. A lead weight will come down harder than a feather.
You would need calculus for different speeds but there's no harm using short cuts, such as pythagoras theorem or the parallogram, on the principle the direction of the forces can be represented abstractly as equal on their opposite sides.
Oh this is priceless!
Firstly, you've managed to misrepresent Galileo's Theory in pretty much the maximum way possible. That is impressive in and of itself! (Go and read Galileo's Theory and try to understand it).
Secondly, a heavy object dropped from a tall building will fall in exactly the same place (that is, below the point from which it was dropped - which is what I assume you meant by the horribly imprecise and incorrect "nearer to the point from which it is dropped") as a lighter object (and lateral displacement also has ABSOLUTELY ZERO to do with Galileo's Theory....). The only thing that would change this is strong lateral wind*, and in turn the effect of lateral wind would depend both upon the lateral area profile of the object being dropped and the mass of the object (i.e. not merely mass). For example, if a 1kg ball of balsa wood and a 500g ball of lead were both dropped together from a tall building, in the presence of a strong crosswind, the lighter ball of lead would land considerably closer to the point directly below the drop point than the heavier ball of balsa.
The rest of your post is utterly dismissible (your ideas about "stop distance" and "giving a picture of the force of its impact" are beyond cogent analysis, since they are so horribly, horribly wrong, and the whole final paragraph is nothing more than the random throwing in of things you appear to have heard somewhere in relation to algebra, and it both meaningless and wholly invalid (as well as being empirically wrong in several respects).
Very impressive work. If I were you, I'd seriously consider stopping now. This is becoming a comedy sideshow of shockingly inept "physics". Oh well......
* Of course the exception to this rule is where the object in question has a disproportionate surface area in relation to its mass - e.g. a feather, a playing card, or a snowflake. In those sorts of cases, the effects of downward air resistance, even in perfectly calm conditions, will be significant, and when coupled with aerofoil effects and effects caused when the tumbling object presents its main surface area at an angle to the air against which it is moving, will cause the object to move laterally in unpredictable ways (as well as significantly slow down its rate of descent). But those are special cases - and cases which require extremely complex modelling involving the application of chaos theory. For all "regular" objects, Galileo's Theory broadly applies: for example, a 5kg iron ball and a 25kg iron ball, where both are dropped from a tall building, will hit the ground at the same time, directly below the dropping point.