$x = {a t}^{2}, y = a t$

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Solution

$\begin{matrix} x = a t^{2}, y = a t \frac{d x}{d t} = 2 a t, \frac{d y}{d t} = a \frac{d y}{d x} = \frac{\frac{d y}{d t}}{\frac{d x}{d t}} = \frac{a}{2 a t} = \frac{1}{2 t} \end{matrix}$

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