Instantaneous Velocity#!#Position vs time graph

The position-time graph of a moving particle is a shown. The instantaneous velocity of the particle is negative at the point.

The position- time graph of a moving particle is shown. The instantaneous velocity of the particle is negative at the point

Assertion: The instantaneous velocity does not depend on instantaneous position vector. Reason: The instantaneous velocity and average velocity of a particle are always same.

The displacement time graph of a moving particle is shown below The instantaneous velocity of the particle is negative at the point

The displacement-time graph of moving particle is shown below The instantaneous velocity of the particle in negative at the point

The displacement time graph is shown in figure. The instantaneous velociyt is negative at the point.

A : The area under acceleration - time graph is equal to velocity of object. R : For an object moving with constant acceleration, position - time graph is a straight line.

Instantaneous velocity of an object varies with time as v = alpha - beta t^(2) . Find its position and acceleration as a function of time, also find the object's maximum positive displacement from the origin.