$A$ car is travelling with linear velocity $v$ on a circular road of radius $r$. If it is increasing its speed at the rate of $a \ m/s^2$,then the resultant acceleration will be

  • A
    $\sqrt {\frac{v^4}{r^2} - a^2}$
  • B
    $\sqrt {\frac{v^4}{r^2} + a^2}$
  • C
    $\sqrt {\frac{v^2}{r^2} - a^2}$
  • D
    $\sqrt {\frac{v^2}{r^2} + a^2}$

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