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.

1 answer

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.