Consider a Point A that moves linearly on the positive x-axis with the speed 1 m/s and another Point B at a distance L from A with position (L,0). With each forward motion of point A the Point B moves in an arc consistently maintaining the distance L from point A. As soon as Point A reaches x=L, the Point B is perpendicular to Point A and its position is (L,L). Both the points move at a constant speed.
How then do you determine the speed of B?
Note that in this problem I considered the Center of Mass of the objects as points.
Is it possible to determine the equation of the curve that point B traces and its arc length? If yes, then how?