Two blocks \( A(5 \mathrm{~kg}) \) and \( B(2 \mathrm{~kg}) \) attached to the ends of a spring ...

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Two blocks \( A(5 \mathrm{~kg}) \) and \( B(2 \mathrm{~kg}) \) attached to the ends of a spring constant \( 1120 \mathrm{~N} / \mathrm{m} \) are placed on a smooth horizontal plane with the spring undeformed. Simultaneously velocities of \( 3 \mathrm{~m} / \mathrm{s} \) and \( 10 \mathrm{~m} / \mathrm{s} \) along the line of the spring in the same direction are imparted to \( A \) and \( B \) then:
(A) When the extension of the spring is maximum the velocities of \( A \) and \( B \) are zero.
(B) The maximum extension of the spring is \( 25 \mathrm{~cm} \).
(C) The first maximum compression occurs \( 3 \pi / 56 \) seconds after start.
(D) Maximum extension and maximum compression occur alternately.
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