A big Diwali rocket is projected vertically upward so as to attain a maximum height of \( 160 \m...

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A big Diwali rocket is projected vertically upward so as to attain a maximum height of \( 160 \mathrm{~m} \). The rocket explodes just
P as it reaches the top of its trajectory sending out luminous

W particles in all possible directions all with same speed \( v \). The display, consisting of the luminous particles, spreads out as an expanding, brilliant sphere. The bottom of this sphere just touches the ground when its radius is \( 80 \mathrm{~m} \). With what speed (in \( \mathrm{m} / \mathrm{s} \) ) are the luminous particles ejected by the explosion?
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