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(C) For a body moving with uniform acceleration $(a = 	ext{constant})$, the relationship between velocity $(v)$ and position $(x)$ is given by the th

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(C) For a body moving with uniform acceleration $(a = 	ext{constant})$, the relationship between velocity $(v)$ and position $(x)$ is given by the third equation of motion:$v^2 = u^2 + 2ax$Assuming the body starts from rest $(u = 0)$, the equation simplifies to:$v^2 = 2ax$Since $2a$ is a constant, we have $v^2 \propto x$, which implies $v = k\sqrt{x}$ (where $k = \sqrt{2a}$ is a constant).The graph of $v = k\sqrt{x}$ represents a parabola that opens along the positive $x$-axis. As $x$ increases, the slope of the curve $(dv/dx = k / (2\sqrt{x}))$ decreases, meaning the curve is concave down. Among the given options, this relationship is correctly represented by the curve in option $(C)$.

For a body moving with uniform acceleration along a straight line, the variation of its velocity $(v)$ with position $(x)$ is best represented by:

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