Assertion : The instantaneous velocity is given by the limiting value of the average velocity as the time interval approaches zero. Reason : The direction of the average velocity is same as that of displacement.

Assertion : The instantaneous velocity is given by the limiting value

1.	Assertion : The instantaneous velocity is given by the limiting value of the average velocity as the time interval approaches zero. Reason : The direction of the average velocity is same as that of displacement.
Answer» If both assertion and reason are true and reason is the correct explanation of assertion If both assertion and reason are true but reason is not the correct explanation of assertion If assertion is true but reason is false If both assertion and reason are false Solution :The AVERAGE velocity `\|vecv\|` of an object is the ratio of the net displacement and the corresponding TIME interval. `vecv = (trianglevecr)/(trianglet) = (trianglex hati+triangleyhatj)/(trianglet) = hati(trianglex)/(trianglet) +HATJ(triangley)/(trianglet)` or` vecv = vecv_(x) hati + vecv_(y) hatj` Since `vecv = (Deltavecr)/(deltat)`, the direction of the average velocity is the same as that of `Deltavecr` . The INSTANTANEOUS velocity is the limiting value of the average velocity as the time interval approaches zero. `therefore vecv = lim_(Deltat to0) (Deltavecr)/(Deltat) = (dvecr)/(dt)`.