Your enemy, 20 km distant, fires a mortar round in your general direction. The round has a vertical component of velocity of 200 meters per second. (Assume that this does not change during the engagement.) You are searching the area using a weapon-locating radar. What must your maximum scan time be to ensure at least four opportunities to detect the target before it passes through your “search fence,” which is the elevation sector extending from 0 to 4 degrees above the horizon?

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Your enemy, 20 km distant, fires a mortar round in your general direction. The round has a vertical component of velocity of 200 meters per second. (Assume that this does not change during the engagement.) You are searching the area using a weapon-locating radar. What must your maximum scan time be to ensure at least four opportunities to detect the target before it passes through your “search fence,” which is the elevation sector extending from 0 to 4 degrees above the horizon?

The answer is 1.75 seconds. 

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