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Introduction

A particle tr...

Question

A particle travels according to the equation $x = a t^{3}, y = b t^{3} .$ The equation of the trajectory is

y = \frac{a x^{2}}{b}

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y = \frac{b x^{2}}{a}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

y = \frac{b x}{a}

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y = \frac{b x^{3}}{a}

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Solution

The correct option is D $y = \frac{b x}{a}$
$x = a t^{3} & y = b t^{3} \Rightarrow \frac{x}{y} = \frac{a}{b} \Rightarrow y = \frac{b x}{a}$

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