# Alokananda's Stone

**Classical Mechanics**Level 3

A stone revolves around in a circular path of radius 12. The distance (\(s\)) it has traveled from a particular point on the circle measured *along the circle*, is given by

\[ s = 2 t ^3 \]

What is the ratio of the component of the acceleration towards the radius to the same towards the tangent at \(t = 2\)?