To determine the final position and x,y velocities of a point rotating around another point on a Cartesian plane, one effective method involves using complex algebra. The position of the point relative to the rotation center can be expressed as x + iy, while the velocity is represented as Vx + iVy. By multiplying these expressions by cos(ang) + i sin(ang), where "ang" is the angle of rotation, the new coordinates can be calculated. After obtaining the rotated values, they should be transformed back to the original coordinate system, while the rotated velocity remains unchanged. This approach provides a systematic way to solve the problem.
