Starting at sea level, a submarine descended at a constant rate to a depth of −5/6 mile relative to sea level in 4 minutes.
What was the submarine's depth relative to sea level after the first minute?
Enter your answer in the box as a fraction in simplest form.
If the submarine descended at a constant rate, then we can determine its descent rate by taking the total change in depth divided by the total time it took:
Descent rate = change in depth / time
In this case, the change in depth is -5/6 mile and the total time is 4 minutes, so the descent rate is:
(-5/6) mile / 4 minutes = -5/24 mile per minute
To determine the submarine's depth after the first minute, we can multiply the descent rate by the time:
Depth after 1 minute = (descent rate) * (time)
Depth after 1 minute = (-5/24) mile per minute * 1 minute
Depth after 1 minute = -5/24 mile
Therefore, the submarine's depth relative to sea level after the first minute is -5/24 mile.
To find the submarine's depth relative to sea level after the first minute, we need to determine how far it descended in that time.
Since it descended at a constant rate, we can find the descent per minute by dividing the total descent by the time taken.
Total descent = -5/6 mile
Time taken = 4 minutes
Descent per minute = Total descent / Time taken
Descent per minute = (-5/6) mile / 4 minutes
To find the descent after the first minute, we multiply the descent per minute by the time:
Descent after first minute = Descent per minute × 1 minute
Descent after first minute = (-5/6) mile / 4 minutes × 1 minute
Simplifying the expression:
Descent after first minute = (-5/6) mile / 4 minutes × 1 minute
Descent after first minute = (-5/6) mile / 4
Therefore, the submarine's depth relative to sea level after the first minute is (-5/6) mile divided by 4, or -5/24 mile.