A particle moves along an arc of a circle of radius \( R \). Its velocity depends on the distanc...

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A particle moves along an arc of a circle of radius \( R \).
Its velocity depends on the distance covered \( s \) as \( v=a \sqrt{s} \), where \( \mathrm{a} \) is a constant then the angle \( \alpha \) between the vector of the total acceleration and the vector of velocity as a function of \( s \) will be
(a) \( \tan \alpha=\frac{R}{2 s} \)
(b) \( \tan \alpha=2 s / R \)
(c) \( \tan \alpha=\frac{2 R}{s} \)
(d) \( \tan \alpha=\frac{s}{2 R} \)
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