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(C) For a body moving in a circular path with a constant speed $v$, the centripetal acceleration $a$ is given by the formula:$a = \frac{v^2}{r}$Given

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(C) For a body moving in a circular path with a constant speed $v$, the centripetal acceleration $a$ is given by the formula:$a = \frac{v^2}{r}$Given that the speed $v = 10 \,ms^{-1}$, we substitute this value into the equation:$a = \frac{(10)^2}{r} = \frac{100}{r}$This shows that the acceleration $a$ is inversely proportional to the radius $r$ $(a \propto \frac{1}{r})$.Therefore, the graph representing this relationship is a rectangular hyperbola, which corresponds to the graph shown in option $C$.

If a body moving in a circular path maintains a constant speed of $10 \,ms^{-1}$, then which of the following correctly describes the relation between acceleration $(a)$ and radius $(r)$?

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