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So basically here's a situation:

You are standing on top of a building, and throw a ball down the hill (hill is linear). Find where it lands

Since you are standing on top a building, you have a Δy component, however wherever the ball lands, there's a Δy component there as well.

One idea i thought for these types of problems, is to rotate the 'x' and y axis, such that the x axis is on the slope of the hill. However, since gravity DOESNT act perpendicular in this case, both the x and y component of the initial velocity of the object will have an acceleration. Would this method work?

ALso, is there any easier methods for these types of problems?