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)

Answer : option (C)

Solution :

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
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