# A car is circulating on the path of radius 𝑟 and at any time its velocity is 𝑣 and rate of increases of velocity is 𝑎. The resultant acceleration of the car will be

Question : A car is circulating on the path of radius 𝑟 and at any time its velocity is 𝑣 and rate of increases of velocity is 𝑎. The resultant acceleration of the car will be

(A) $\sqrt{\dfrac{v^{2}}{a^{2}}+r^{2}}$

(B) $\sqrt{\dfrac{v^{2}}{r}+a}$

(C) $\sqrt{\dfrac{v^{4}}{r^{2}}+a^{2}}$

(D) $\left( \dfrac{v^{2}}{r}+a\right)$