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Two balloons are simultaneously released from two buildings \( A \) and \( B \). Balloon from A rises with constant velocity \( 10 \mathrm{~ms}^{-1} \), While the other one rises with constant velocity of \( 20 \mathrm{~ms}^{-1} \). Due to wind the balloons gather horizontal velocity \( V_{x}=0.5 y \), where \( y \) is the height from the point of release. The buildings are at a distance of \( 250 \mathrm{~m} \) and after some time \( t \) the balloons collide. Choose the correct option(s).
(1) \( t=5 \mathrm{sec} \)
(2) difference in height of buildings is \( 100 \mathrm{~m} \)
(3) difference in height of buildings is \( 50 \mathrm{~m} \)
(4) \( t=10 \mathrm{sec} \)
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