The submarine's depth relative to sea level after the first minute is 1.2 miles
<h3>How to find the submarine's depth relative to sea level after the first minute?</h3>
To find the submarine's depth after the first minute, we first need to find the rate at which the submarine descends, r.
The rate at which the submarime descends is r = d/t where
- d = submarine's depth and
- t = time of descent to depth d.
Given that submarine descended at a constant rate to a depth of −3/4 mile relative to sea level in 5/8 minutes, we have that
- d = -3/4 mile and
- t = 5/8 minutes.
So, substituting these into r, we have
r = d/t
= -3/4 mile ÷ 5/8 min
= -3/4 × 8/5
= -3 × 2/5
= -6/5
= -1.2 mile/min
So, the depth of the submarine after the first minute is given by D = rt where r = rate of descent = -1.2 mile/min and t = time = 1 min
So, substituting these into D, we have
D = rt
= -1.2 mile/min × 1 min
= -1.2 mile
So, the submarine's depth relative to sea level after the first minute is 1.2 miles
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