Question

A scuba diver descends in the water at a rate of 2012 feet per minute for 2.8 minutes. He immediately changes course when he sees a large fish and ascends at a rate of 25 feet per minute for 2 minutes.What is the scuba diver's position relative to sea level after the 4.8 minutes?

Answer 1

The scuba diver's position relative to sea level after 4.8 minutes is 5583.6 feet below sea level, calculated by subtracting the ascent distance from the descent distance.

Step-by-step explanation:

To determine the scuba diver's position relative to sea level after 4.8 minutes, we need to consider the two phases of his movement: the descent and the ascent.

During the descent, the diver goes down at a rate of 2012 feet per minute for 2.8 minutes.

To calculate the total descent, we multiply the rate by the time:

Descend = 2012 feet/minute × 2.8 minutes = 5633.6 feet

During the ascent, the diver moves upward at a rate of 25 feet per minute for 2 minutes.

To calculate the total ascent, we multiply the rate by the time:

Ascent = 25 feet/minute × 2 minutes = 50 feet

To find the diver's final position relative to sea level, we subtract the total ascent from the total descent:

Final Position = Descend - Ascent = 5633.6 feet - 50 feet = 5583.6 feet below sea level.