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A sphere is rolling without slipping on a fixed horizontal plane surface. In the figure, A is the point of contact, B is the centre of the sphere and C is its topmost point. Then,
$$\overrightarrow{V}_C - \overrightarrow{V}_A = 2\left(\overrightarrow{V}_B - \overrightarrow{V}_C\right)$$
$$\overrightarrow{V}_C - \overrightarrow{V}_B = \overrightarrow{V}_B - \overrightarrow{V}_A$$
$$\mid \overrightarrow{V}_C - \overrightarrow{V}_A \mid = 2\mid \overrightarrow{V}_B - \overrightarrow{V}_C \mid$$
$$\mid \overrightarrow{V}_C - \overrightarrow{V}_A \mid = 4\mid \overrightarrow{V}_B \mid$$
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