A particle moves along an arc of a circle of radius $R$ . Its velocity depends on the distance covered as $v = a\sqrt s$ , where $a$ is a constant then the angle $\alpha $ between the vector of the total acceleration and the vector of velocity as a function of $s$ will be

  • A

    $\tan \alpha  = \frac{R}{{2s}}$

  • B

    $\tan \alpha  = \frac{2s}{{R}}$

  • C

    $\tan \alpha  = \frac{2R}{{s}}$

  • D

    $\tan \alpha  = \frac{s}{{2R}}$

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