Question

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

• A. $x=5m,y=3m$
• B. $x=3m,y=2m$
• C. $x=6m,y=2m$
• D. $x=5m,y=2m$

Answer 1

Answer: (A)

$x=5m,y=3m$

At B $(x=5m,y=3m)$ the curve changes direction rapidly. During the change of direction of velocity, at an instance, it is same as the line joining AB.