Find the equation of the point's trajectory $y (x)$ .

y (x) = x - \frac{x^{2} α}{a}

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y (x) = x - \frac{x^{2} α}{4 a}

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y (x) = x - \frac{x^{2} α}{3 a}

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y (x) = x - \frac{x^{2} α}{2 a}

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Solution

The correct option is A $y (x) = x - \frac{x^{2} α}{a}$
$y = a t (1 - α t) x = a t \Rightarrow t = \frac{x}{a} \Rightarrow y = x (1 - \frac{x α}{a}) = x - \frac{x^{2} α}{a}$

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Tick (✓) the correct answer:
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