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I chose problem number 1.
You need to include a copy of the problem; just copy and paste it, then insert your responses in the appropriate places.
The average rate of depth change between clock time t = 13.9 and clock time t = 27.8 is: -14.9355/13.9 I obtained this number by plugging the two values into the equation for t and finding the slope of the line that connects those two points, which I would also assume is the rate of depth change at the clock time halfway between the two points.
The clock time halfway between t = 13.9 and t = 27.8 is t =
20.85 and the depth is changing at a rate of 1.92405 cm/s
At the clock time t = 13.9 the rate of change is .5827 cm/s and t = 27.8, the rate of change is 3.2654 cm/s the average rate of change is 1.92405 cm/s, the same as the midpoint because this is the average rate of change.
The depth will change 14.93555 cm between clock times t = 13.9 and t = 27.8.
Overall your work looks very good, but there is one lingering question.
You didn't include a copy of the problem, but if the average rate of depth change is 1.9 cm/s and the change in clock time is 27.8 sec - 13.9 sec = 13.9 sec, then the depth change should be around 26 cm.
So, though most of your work and your reasoning look great, something is inconsistent here.
Can you clarify by resending this along with a copy of that problem? If you can see where the discrepancy arose, you might want to address that also.