The correct option B. Path B: since velocity v is tangent to a circular path.
Any linear component of an object's motion that travels a circular path is called tangential velocity.
Thus, the rock will follow path B since velocity v is tangent towards the circular path.
To know more about the tangential velocity, here
https://brainly.com/question/19660334
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The complete question is
A girl attaches a rock to a string, which she then swings counter-clockwise in a horizontal circle. The string breaks at point P in the figure, which shows a bird's-eye view (as seen from above). Which path (A-E) will the rock follow?
A. Path A
B. Path B
C. Path C
D. Path D
E. Path E