A particle starts from a point A and travels along the solid curve shown in figure
(3-E7). Find approximately the position B of the particle such that the average velocity between the positions A and B has the same direction as the instantaneous velocity at B.




Here at position B, the instantaneous velocity of the particle has a direction along BC


Average velocity between A and B is




Here AB and BC are in same direction, I. e the point is B (5,3)


2