a particle starts from origin moves along path y=left parenthesis x minus 1 right parenthesis cubed+1.find co-ordinate of point on curve such that instantaneous velocity at that point has same direction as that of average velocity till that point....

Asked by Anu | 18th Jun, 2014, 10:48: AM

Expert Answer:

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The graph of this equation is

From the graph it is clear that the curvature of the graph changes from plus to minus and hence it has an inflection point.

To find inflection point, we have

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Because the curve is continuous, left hand limit at (1,1) is equal to right hand limit at (1,1) = f(1).

Hence, the coordinate of the point where instantaneous velocity has same direction as average velocity is (1,1).

Answered by Romal Bhansali | 26th Jun, 2014, 10:53: AM