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A car is travelling with linear velocity \( v \) on a
\( \mathrm{P} \)
circular road of radius \( r \). If it is increasing its speed
W
at the rate of ' \( a \) ' \( \mathrm{m} / \mathrm{sec}^{2} \), then the resultant acceleration will be
(1) \( \sqrt{\frac{v^{2}}{r^{2}}-a^{2}} \).
(2) \( \sqrt{\frac{v^{4}}{r^{2}}+a^{2}} \)
(3) \( \sqrt{\frac{v^{4}}{r^{2}}-a^{2}} \)
(4) \( \sqrt{\frac{v^{2}}{r^{2}}+a^{2}} \)
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