Final answer:
The elevator's rate of change in elevation over the 15-second interval was 4.67 feet per second, as it ascended from 90 feet below to 20 feet below ground level.
Step-by-step explanation:
Rate of Change in Elevator Elevation
The question asks us to determine the rate of change in the elevator's elevation over a 15-second interval. Starting 90 feet below ground level and reaching 20 feet below ground level after 15 seconds means that the elevator ascended 70 feet (90 - 20 feet). To find the rate of change, divide the total change in elevation by the time taken. The calculation is as follows:
Rate of Change = ∆ Elevation / Time = 70 feet / 15 seconds = 4.67 feet per second.
Therefore, the elevator's rate of change in elevation during the 15-second interval was 4.67 feet per second.