Issac's points

Geometry Level 2

There exists 22 points on Cartesian coordinate. Point BB has coordinates (0,1)(0,1). Point AA is on the origin (0,0)(0,0).

Point AA and BB always has a constant distance of 11 from each other.

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

Point AA moves with a horizontal velocity of 2v.2v.

Point AA's vertical velocity (parallel to the y-axis) is 00 while Point BB is allowed to move vertically in order to keep the constant distance of 11.

All this movement is happening in the first quadrant.

Let PP be the area made by the figure defined by: the xx axis, the yy axis, and the path traveled by point BB up to where it meets the xx axis. Find 1000P.\left\lfloor 1000P \right\rfloor .


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

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