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 $'a'$ $meter/{\sec ^2}$, then the resultant acceleration will be
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 $'a'$ $meter/{\sec ^2}$, then the resultant acceleration will be
- A
$\sqrt {\left\{ {\frac{{{v^2}}}{{{r^2}}} - {a^2}} \right\}} $
- B
$\sqrt {\left\{ {\frac{{{v^4}}}{{{r^2}}} + {a^2}} \right\}} $
- C
$\sqrt {\left\{ {\frac{{{v^4}}}{{{r^2}}} - {a^2}} \right\}} $
- D
$\sqrt {\left\{ {\frac{{{v^2}}}{{{r^2}}} + {a^2}} \right\}} $
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