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Airplanes A and B are flying with constant velocity in the same vertical plane at angles \( 30^{\circ} \) and \( 60^{\circ} \) with respect to the horizontal respectively as shown in figure . The
\( \mathrm{P} \) speed of \( \mathrm{A} \) is \( 100 \sqrt{3} \mathrm{~ms}^{-1} \). At time \( \mathrm{t}=0 \mathrm{~s} \), an observer in

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A finds B at a distance of \( 500 \mathrm{~m} \). This observer sees B moving with a constant velocity perpendicular to the line of motion of \( A \). If at \( \mathrm{t}=\mathrm{t}_{0} \), A just escapes being hit by \( \mathrm{B}, \mathrm{t}_{0} \) in seconds is:
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