The submarine's depth relative to sea level after the first minute is 1.2 miles
How to find the submarine's depth relative to sea level after the first minute?
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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