From an elevation of 3.5 m below the surface of the water, a northern bottlenose whale dives at a rate of 1.8 m/s. What is the whale’s depth after 4 min? show your work.
negative 435.5 meters
negative 212.5 meters
negative 10.7 meters
negative 170.2 meters
To find the whale's depth after 4 minutes, we need to first find out how far it dives in 4 minutes.
Since the whale dives at a rate of 1.8 m/s, we can find the distance it travels in 4 minutes by multiplying the rate by the time:
distance = rate × time = 1.8 m/s × 4 min = 7.2 m
As the whale is already at an elevation of 3.5 m below the surface of the water, we need to subtract this elevation from the distance traveled:
depth = distance - elevation = 7.2 m - 3.5 m = 3.7 m
Therefore, the whale's depth after 4 minutes is -3.7 meters.
However, none of the given options match this result. Therefore, it seems there may be an error in the problem or the answer choices.