Circular MotionHard

Question

A  particle moves along an arc of a circle of radius R. Its velocity depends on the distance covered s  as v = a√s, where a is a constant then the angle between the vector of the total acceleration and the vector of  velocity as  a function of s will be

Options

A.tan α = R/2s
B.tan α = 2s/R
C.tan α = 2R/s
D.tan α = s/2R

Solution

v = a√s    ⇒    v2 = a2 s
at = =
aC = =
tan α = = =        Ans.

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