I think we'd all love to be the one to spot the ship or aircraft first, but due to the time constraints it's not going to happen.
One place I have beat the crew to the punch is on the hydrophones. During a normal patrol I submerge several times a day to have a listen and see if anything shows up out of visual range. Sometimes I will listen myself, just to be sure my sonar guy isn't missing something, and on two occasions I have actually detected faint ship noises he had missed.
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