A sphere is rolling without slipping on a fixed horizontal \( \mathrm{P} \) plane surface. In th...

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A sphere is rolling without slipping on a fixed horizontal
\( \mathrm{P} \) plane surface. In the figure, \( A \) is the point of contact, \( B \) is the

W centre of the sphere and \( C \) is its topmost point. Then,
(1) \( \vec{V}_{C}-\vec{V}_{A}=2\left(\vec{V}_{B}-\vec{V}_{C}\right) \)
(2) \( \vec{V}_{C}-\vec{V}_{A}=\vec{V}_{B}-\vec{V}_{A} \)
(3) \( \left|\vec{V}_{C}-\vec{V}_{A}\right|=2\left|\vec{V}_{B}-\vec{V}_{C}\right| \)
(4) \( \left|\vec{V}_{C}-\vec{V}_{A}\right|=4\left|\vec{V}_{B}\right| \)
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