A classical mechanics problem by Arghyanil Dey

A fighter plane is flying horizontally at a height of 250 m from ground with constant velocity of 500 m/s.It passes over a cannon which can fire a shell at any time in any direction with a speed of 100m/s. The duration of time for which the plane is in danger of being hit by a cannon shell is=Δ×√§ Then What is the value of §+Δ?

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