# Issac's points

Geometry Level 3

There exists $$2$$ points on Cartesian coordinate. Point $$A$$ has coordinates $$(0,1)$$. Point $$B$$ is on the origin $$(0,0)$$.

Point $$A$$ and $$B$$ always has a constant distance of $$1$$ from each other.

Point $$A$$ moves with a horizontal velocity (parallel to the x-axis) of $$v$$

Point $$B$$ moves with a horizontal velocity of $$2v$$

Point $$B$$'s vertical velocity (parallel to the y-axis) is $$0$$ while Point $$A$$ is allowed to move vertically in order to keep the constant distance of $$1$$.

All this movement is happening in the first quadrant.

Given that the area made with the $$x$$ and $$y$$ axis and the path traveled by Point $$A$$ is $$P$$, find $\left\lfloor 1000P \right\rfloor$

After you solve this, you might want to try a continuation of this problem.

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