A submarine descends from sea level to the entrance of an underwater cave. The elevation of the entrance is - 120 feet. The rate of change in the submarine's elevation is no greater than - 12 feet per second. Can the submarine reach the entrance to the cave in less than 10 seconds? Write an inequality. Explain.

Question

Mathematics

Esperanza

9 June, 19:08

A submarine descends from sea level to the entrance of an underwater cave. The elevation of the entrance is - 120 feet. The rate of change in the submarine's elevation is no greater than - 12 feet per second. Can the submarine reach the entrance to the cave in less than 10 seconds? Write an inequality. Explain.

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Answers (1)

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Conor Chambers · Answer 1

No

t > or = 120/12

As the max rate of descent is 12 ft/s the quickest time possible would be

the distance / greatest speed

= 120 / 12

=10 secs

If the rate of descent was slower, the time of descent would increase.

eg if rate = 10 ft/s

time = 120 / 10 = 12 secs