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A cubical box of dimension \( \mathrm{L}=5 / 4 \) metre starts moving with an acceleration \( \vec{a}=0.5 \mathrm{~m} / \mathrm{s}^{2} \hat{\imath} \) from the
\( \mathrm{P} \)
state of rest. At the same time, a stone is thrown from the origin with velocity, \( \overrightarrow{\mathrm{V}}=v_{1} \hat{i}+v_{2} \hat{j}-v_{3} \hat{k} \) with respect to earth. Acceleration due to gravity \( \vec{g}=10 \) \( \mathrm{m} / \mathrm{s}^{2}(-\hat{j}) \).
The stone just touches the roof of box and finally falls at the diagonally opposite point then:
(1) \( v_{1}=\frac{3}{2} \)
(2) \( v_{2}=5 \)
(3) \( v_{3}=\frac{5}{4} \)
(4) \( v_{2}=\frac{5}{2} \)


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