There exists points on Cartesian coordinate. Point has coordinates . Point is on the origin .
Point and always has a constant distance of from each other.
Point moves with a horizontal velocity (parallel to the x-axis) of
Point moves with a horizontal velocity of
Point 's vertical velocity (parallel to the y-axis) is while Point is allowed to move vertically in order to keep the constant distance of .
All this movement is happening in the first quadrant.
Let be the area made by the figure defined by: the axis, the axis, and the path traveled by point up to where it meets the axis. Find
After you solve this, you might want to try a continuation of this problem.
Try my Other Problems