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Problem 2: One way to monitor global warming is to measure the average temperature of the ocean. Researchers are doing this by measuring the time it takes sound pulses to travel underwater over large distances. At a depth of 1000 m, where ocean temperatures hold steady near 4C, the average sound speed is 1480 m/s. lt's known from laboratory measurements that the sound speed increases 4.0 m/s for every 10C increase in temperature. In one experiment, where sounds generated near California are detected in the South Pacic, the sound waves travel L = 8000 kmi Ifthe smallest time change that can be reliably detected is At = 1.0 5, what is the smallest change in average temperature that can be measured? 3) Suppose you are working with two pulses corresponding to the different temperatures of the water, Pulse 1 propagates through distance L at a speed 111, while pulse 2 propagates at a speed 01 + Au. Show that the difference in the arrival times of the pulses is At : I, t2 : . b) If you knew that At} was much smaller than 11,, then you could ignore it in the denominator of the formula for At. Start from assuming Au