Question

Problem:
Prince Eric decided to go deep sea diving. He is 250 feet below sea level, and
Prince Eric decided to go deep sea diving. He is 250 feet below sea level, and has has injured himself. He only has 10 minutes of air supply in his tank and can only rise towards the surface at a rate of 20 feet per minute. Ariel is trying to
get a replacement air tank. Due to Ursula's wickedness, she is forced to wait at 100 feet below sea level. Will Prince Eric be saved?

Answer 1

The depths below sea level, the rising speed, and the available air

supply, determine the minimum depth Ursula can wait.

Correct response;

• Yes, he will be saved

How is the distance and time below sea level determined?

The given parameters;

The initial depth of Prince Eric = 250 feet below sea level

Duration of air supply available = 10 minutes

Speed of ascent of Prince Eric = 20 ft./minute

The depth at which Ursula is forced to wait = 100 feet below sea level

The maximum ascent possible with the available air supply is given as follows;

Ascent = 20 ft./min × 10 min. = 200 ft.

Therefore, the air supply is insufficient to swim to the surface.

Level at which Ursula waits = 100 ft.

Level to which Prince Eric requires to ascent = 250 ft. - 100 ft. = 150 ft.

$Time \ it \ takes \ to \ ascent \ to \ 150 \, ft. = \dfrac{150 \, ft.}{20 \, ft./min} = \mathbf{7.5 \,min}$

The time it will take Prince Eric to ascend to Ursula's level is 7.5 minutes,

which is less than the 10 minutes, time to use the available air supply.

Therefore;

• Prince Eric will reach Ursula before exhausting the air supply in his tank, and he will be saved.

Learn more about calculations involving depths below sea level here:

https://brainly.com/question/779967

https://brainly.com/question/8962722