An object is moving with a uniform acceler

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An object is moving with a uniform acceleration which is parallel to its instantaneous direction of motion. The displacement $(s) - $ velocity $(v)$ graph of this object is

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An object is moving with a uniform acceleration which is parallel to its instantaneous direction of motion. The displacement $(s) - $ velocity $(v)$ graph of this object is

${v^2} = {u^2} + 2aS$, If $u = 0$ then ${v^2} \propto S$

i.e. graph should be parabola symmetric to displacement axis.