The relation between time ' $t$ ' and distance ' $x$ ' is $t=$ $\alpha x^2+\beta x$, where $\alpha$ and $\beta$ are constants. The relation between acceleration $(a)$ and velocity $(v)$ is:

  • [JEE MAIN 2024]
  • A

    $a=-2 \alpha v^3$

  • B

    $a=-5 \alpha v^5$

  • C

    $a=-3 \alpha v^2$

  • D

    $a=-4 \alpha v^4$

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