A smooth sphere is moving on a horizontal surface with velocity vector \( 2 \hat{i}+2 \hat{j} \)...

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A smooth sphere is moving on a horizontal surface with velocity vector \( 2 \hat{i}+2 \hat{j} \) immediately before it hits a vertical wall. The wall is parallel to \( \hat{j} \) vector and the coefficient of restitution between the sphere and the wall is \( e=1 / 2 \). The velocity vector of the sphere after it hits the wall is
(1) \( \hat{i}-\hat{j} \)
(2) \( -\hat{i}+2 \hat{j} \)
(3) \( -\hat{i}-\hat{j} \)
(4) \( 2 \hat{i}-\hat{j} \)
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