A scientist uses a submarine to study ocean life.
*She begins at sea level, which is an elevation of 0 feet.
*She descends for 91 seconds at a speed of 2.2 feet per second.
*She then ascends for 32 seconds at a speed of 0.7 feet per second.
At this point, what is her elevation, in feet?
To calculate the scientist's elevation after descending and ascending in the submarine, we can use the relevant information given:
1. She descends for 91 seconds at a speed of 2.2 feet per second.
This means she descends a total distance of (91 seconds) * (2.2 feet per second) = 200.2 feet.
2. She then ascends for 32 seconds at a speed of 0.7 feet per second.
This means she ascends a total distance of (32 seconds) * (0.7 feet per second) = 22.4 feet.
To find her total elevation, we need to subtract the distance she ascends from the distance she descends:
Total elevation = Descend distance - Ascend distance
Total elevation = 200.2 feet - 22.4 feet
Total elevation = 177.8 feet
Therefore, her elevation, in feet, at this point is 177.8 feet.
To find her final elevation, we need to calculate the change in elevation during both the descent and ascent.
During the descent:
Time = 91 seconds
Speed = 2.2 feet per second
Change in elevation during descent = Time * Speed = 91 seconds * 2.2 feet per second
During the ascent:
Time = 32 seconds
Speed = 0.7 feet per second
Change in elevation during ascent = Time * Speed = 32 seconds * 0.7 feet per second
To find the final elevation, we need to subtract the change in elevation during descent from the initial elevation and then add the change in elevation during the ascent.
Final elevation = Initial elevation - Change in descent + Change in ascent
Given that the initial elevation is 0 feet, the calculation would be:
Final elevation = 0 feet - (91 seconds * 2.2 feet per second) + (32 seconds * 0.7 feet per second)
Calculating the values:
Final elevation = 0 feet - 200.2 feet + 22.4 feet
Final elevation = -177.8 feet + 22.4 feet
Final elevation = -155.4 feet
Therefore, her elevation at this point is -155.4 feet.