To find the rate of change in the diver's depth, we first need to determine the total change in depth and then divide that by the time taken for the descent.
- Initial depth of the diver: -15 meters (below the surface)
- Final depth after descending further: -15 meters - 10 meters = -25 meters (below the surface)
- Change in depth: \[ \Delta d = \text{Final depth} - \text{Initial depth} = -25 - (-15) = -25 + 15 = -10 \text{ meters} \]
- Time taken: 10.1 seconds
- Rate of change of depth: \[ \text{Rate} = \frac{\Delta d}{\text{Time}} = \frac{-10 \text{ meters}}{10.1 \text{ seconds}} \approx -0.9901 \text{ m/s} \]
Rounding to the nearest hundredth, the rate of change in the diver’s depth is approximately -0.99 m/s.
Since the rate is negative, this indicates that the diver is descending, which is consistent with the situation described.