A submarine was floating on the water. It went under the water at a rate of 0.5m/second for 3 minutes. It then started to rise towards the surface at a rate of 0.7m/second for 1.5 minutes. What is the depth of the submarine?
See my answer to your previous post.
To calculate the depth of the submarine, we need to find the distance it traveled while going under the water and subtract the distance it traveled while rising towards the surface.
First, let's calculate the distance traveled while going under the water.
Given:
Rate of descent = 0.5 m/second
Time spent descending = 3 minutes
To convert minutes into seconds, we multiply 3 by 60:
Time spent descending = 3 minutes * 60 seconds/minute = 180 seconds
Now, we can find the distance traveled while going under the water by multiplying the rate of descent by the time spent descending:
Distance traveled while going under the water = 0.5 m/second * 180 seconds = 90 meters
Next, let's calculate the distance traveled while rising towards the surface.
Given:
Rate of ascent = 0.7 m/second
Time spent ascending = 1.5 minutes
Converting minutes into seconds, we multiply 1.5 by 60:
Time spent ascending = 1.5 minutes * 60 seconds/minute = 90 seconds
Now, we can find the distance traveled while rising towards the surface by multiplying the rate of ascent by the time spent ascending:
Distance traveled while rising towards the surface = 0.7 m/second * 90 seconds = 63 meters
To calculate the depth of the submarine, we subtract the distance traveled while rising towards the surface from the distance traveled while going under the water:
Depth of the submarine = Distance traveled while going under the water - Distance traveled while rising towards the surface
Depth of the submarine = 90 meters - 63 meters = 27 meters
Therefore, the depth of the submarine is 27 meters.