Its Danger There!

Classical Mechanics Level pending

A fighter jet is flying with a velocity of \(500\) m/s at a height of \(250\)m . It passes over an antiaircraft gun which can fire at any time, in any direction but with a speed of \(100 \) m/s . Determine the time interval during which fighter jet is in \( DANGER \) of being hit by gun bullets.

ASSUMPTIONS:

TAKE g=10 m/s^2 Answer will be in form of \(a \times b^{c}\) . Find \(a+cb\)

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