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(C) The equation of motion for an object with uniform acceleration is given by $v^2 = u^2 + 2as$,where $v$ is the final velocity,$u$ is the initial ve

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(C) The equation of motion for an object with uniform acceleration is given by $v^2 = u^2 + 2as$,where $v$ is the final velocity,$u$ is the initial velocity,$a$ is the uniform acceleration,and $s$ is the displacement.Assuming the object starts from rest,i.e.,$u = 0$,the equation becomes $v^2 = 2as$.This can be rewritten as $s = \frac{v^2}{2a}$.Since $a$ is constant,$s \propto v^2$.This represents a parabola that is symmetric about the displacement axis ($s$-axis),opening towards the positive $v$ direction if $a > 0$.Comparing this with the given options,the graph in option $C$ represents the relationship $s \propto v^2$.

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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