A scientist uses a submarine to study ocean life.
She begins at sea level, which is an elevation of 0 feet.
She descends for 89 seconds at a speed of 4.1 feet per second.
She then ascends for 64 seconds at a speed of 2.6 feet per second.
After this 153-second period, how much time, in seconds, will it take for the scientist to travel back to sea level at 4.4 feet per second? Round your answer to the nearest tenth of a second.
To find the time it will take for the scientist to travel back to sea level, we need to determine the distance traveled during the descent and ascent phases.
During the descent phase, the scientist travels for 89 seconds at a speed of 4.1 feet per second.
Distance traveled during descent = Speed × Time = 4.1 ft/s × 89 s = 364.9 ft
During the ascent phase, the scientist travels for 64 seconds at a speed of 2.6 feet per second.
Distance traveled during ascent = Speed × Time = 2.6 ft/s × 64 s = 166.4 ft
To calculate the total distance traveled, we need to sum the distances traveled during the descent and ascent phases.
Total distance traveled = Distance during descent + Distance during ascent = 364.9 ft + 166.4 ft = 531.3 ft
Next, let's calculate the time it will take to travel back to sea level at a speed of 4.4 feet per second.
Distance from sea level = 0 ft
Speed = 4.4 ft/s
Using the formula Time = Distance / Speed, we can find the time taken to travel back to sea level.
Time = 531.3 ft / 4.4 ft/s ≈ 120.70 seconds
Rounding to the nearest tenth of a second, it will take approximately 120.7 seconds for the scientist to travel back to sea level.
To determine the time it will take for the scientist to travel back to sea level at a speed of 4.4 feet per second, we need to calculate the elevation change during the initial 153-second period and use this information to determine the time it will take to return to sea level.
During the first 89 seconds, the scientist descends at a speed of 4.1 feet per second. Therefore, the elevation change during this period can be calculated as:
Change in elevation during descent = speed of descent * time of descent
Change in elevation during descent = 4.1 feet/second * 89 seconds
Next, during the next 64 seconds, the scientist ascends at a speed of 2.6 feet per second. Similarly, the elevation change during this period can be calculated as:
Change in elevation during ascent = speed of ascent * time of ascent
Change in elevation during ascent = 2.6 feet/second * 64 seconds
To calculate the total elevation change during the initial 153-second period, we subtract the ascent value from the descent value:
Total elevation change = (4.1 feet/second * 89 seconds) - (2.6 feet/second * 64 seconds)
After calculating the total elevation change, we divide it by the ascent speed of 4.4 feet per second to find the time it will take to return to sea level:
Time to return to sea level = Total elevation change / ascent speed
Time to return to sea level = (Total elevation change) / (4.4 feet/second)
By plugging in the values and performing the calculations, we can find the time it will take for the scientist to travel back to sea level at 4.4 feet per second.
(89*4.1) - (64*2.6) = current depth
Multiply current depth by 4.4 feet/second