A smooth sphere is moving on a horizontal surface with velocity vec...

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A smooth sphere is moving on a horizontal surface with velocity vector \( 3 \hat{i}+\hat{j} \) immediately before it hits a vertical wall.
\( \mathrm{P} \)
W The wall is parallel to the vector \( \hat{j} \) and the coefficient of restitution between the wall and the sphere is \( 1 / 3 \). The velocity vector of the sphere after it hits the wall is :
(A) \( 3 \hat{i}-\frac{1}{3} \hat{j} \)
(B) \( -\hat{i}+\hat{j} \)
(C) \( \hat{i}-\hat{j} \)
(D) \( -\hat{i}-\frac{1}{3} \hat{j} \)
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