A ball of mass \( m \) moving with velocity \( v_{0} \) collides with a wall as shown in figure....

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A ball of mass \( m \) moving with velocity \( v_{0} \) collides with a wall as shown in figure. After impact it rebounds with a velocity \( v_{0} / 2 \). The component of impulse acting on the ball along the wall is
(1) \( \frac{m v_{0}}{2} \hat{j} \)
(2) \( -\frac{m v_{0}}{2} \hat{j} \)
(3) \( -\frac{m v_{0}}{5} \hat{j} \)
(4) none of these
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