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?
(1 point)
Responses
negative 435.5 meters
negative 212.5 meters
negative 10.7 meters
negative 170.2 meters
To find the depth after 4 minutes, we need to know the distance the whale travels during that time. We can use the formula:
distance = rate * time
So, the distance the whale travels in 4 minutes is:
distance = 1.8 m/s * 4 min = 7.2 m
Since the whale started at an elevation of 3.5 m below the surface, we need to subtract this distance from the initial depth:
depth = -3.5 m - 7.2 m = -10.7 m
Therefore, the whale's depth after 4 minutes is negative 10.7 meters. The correct answer is negative 10.7 meters.
To determine the whale's depth after 4 minutes, we need to calculate the distance it has traveled during that time.
Given the rate at which the whale dives is 1.8 m/s, we can use the formula:
Distance = Rate × Time
Distance = 1.8 m/s × 4 min
First, we need to convert 4 minutes to seconds as the rate is given in meters per second:
4 minutes × 60 seconds/minute = 240 seconds
Distance = 1.8 m/s × 240 s
Distance = 432 meters
Since the whale started at an elevation of 3.5 meters below the surface of the water, we need to subtract this value from the distance to get the final depth:
Depth after 4 min = 432 meters - 3.5 meters
Depth after 4 min = 428.5 meters
However, the question asks for the depth in relation to the surface of the water, so we need to convert this value to a negative number:
Depth after 4 min = -428.5 meters
Therefore, the correct answer is:
negative 428.5 meters