A block of mass \( m \) is attached to a pulley disc of equal mass \( m \) and radius \( r \) by...

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A block of mass \( m \) is attached to a pulley disc of equal mass \( m \) and radius \( r \) by means of a slack string as shown. The
\( \mathrm{P} \) pulley is hinged about its centre on a horizontal table and

W the block is projected with an initial velocity of \( 5 \mathrm{~m} / \mathrm{s} \). Its velocity when the string becomes taut will be
(1) \( 3 \mathrm{~m} / \mathrm{s} \)
(2) \( 2.5 \mathrm{~m} / \mathrm{s} \)
(3) \( \frac{5}{3} \mathrm{~m} / \mathrm{s} \)
(4) \( \frac{10}{3} \mathrm{~m} / \mathrm{s} \)
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