A scuba diver dove from the surface of the ocean to an elevation of -79 9/10 feet at a rate of -18.8 feet per minute. After spending 12.75 minutes at that elevation, the diver ascended to an elevation of -28 9/10 feet. The total time for the dive so far was 19 1/8 minutes. What was the rate of change in the diver's elevation during the ascent?
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To find the rate of change in the diver's elevation during the ascent, we need to determine the change in elevation and the time taken during the ascent.
First, let's calculate the change in elevation during the ascent. The initial elevation was -79 9/10 feet, and the final elevation is -28 9/10 feet. To calculate the change, we subtract the initial elevation from the final elevation:
Change in elevation = Final elevation - Initial elevation
Change in elevation = (-28 9/10) - (-79 9/10)
To perform the subtraction, we need to convert the mixed fractions to improper fractions:
Final elevation = -28 9/10 = -28 - (9/10) = -28 - (9/10) = -28 - 9/10 = -28 - (9/10) = -28 - 9/10 = -28 - (9/10) = -28 - 9/10 = -28 - (9/10) = -28 - 9/10 = -299/10
Initial elevation = -79 9/10 = -79 - (9/10) = -79 - (9/10) = -79 - 9/10 = -79 - (9/10) = -79 - 9/10 = -79 - (9/10) = -79 - 9/10 = -79 - (9/10) = -79 - 9/10 = -899/10
Now we can calculate the change in elevation:
Change in elevation = (-299/10) - (-899/10)
Change in elevation = (-299/10) + (899/10)
Change in elevation = (899/10) - (299/10)
Change in elevation = 600/10
Change in elevation = 60 feet
Next, we need to determine the time taken during the ascent. The total time for the dive was given as 19 1/8 minutes, and the diver spent 12.75 minutes at the initial elevation. To calculate the time taken during the ascent, we subtract the time spent at the initial elevation from the total time:
Time taken during ascent = Total time - Time spent at initial elevation
Time taken during ascent = (19 1/8) - 12.75
To perform the subtraction, convert the mixed fraction to an improper fraction:
Total time = 19 1/8 = 19 + (1/8) = 152/8 + (1/8) = 153/8
Time spent at initial elevation = 12.75 = 12 + (3/4) = 12 + (3/4) = 12 + 3/4 = 12 + (3/4) = 12 + 3/4 = 12 + (3/4) = 12 + 3/4 = 12 + (3/4) = 12 + 3/4 = 51/4
Now we can calculate the time taken during the ascent:
Time taken during ascent = (153/8) - (51/4)
Time taken during ascent = (153/8) - (102/8)
Time taken during ascent = 51/8
Time taken during ascent = 6.375 minutes
Finally, we can calculate the rate of change in the diver's elevation during the ascent by dividing the change in elevation by the time taken during the ascent:
Rate of change = Change in elevation / Time taken during ascent
Rate of change = 60 feet / 6.375 minutes
Dividing the numerator and denominator by their greatest common divisor (GCD), which is 15, we get:
Rate of change = (60/15) feet / (6.375/15) minutes
Rate of change = 4 feet / (0.425 minutes)
To convert minutes to seconds, multiply the denominator by 60:
Rate of change = 4 feet / (0.425 minutes * 60 seconds/minute)
Rate of change = 4 feet / 25.5 seconds
Therefore, the rate of change in the diver's elevation during the ascent is approximately 0.1569 feet per second.
a scuba diver dove from the surface of the ocean to an elevation of −99 9 10 feet at a rate of −30.7 feet per minute. After spending 10.75 minutes at that elevation, the diver ascended to an elevation of −18 9 10 feet. The total time for the dive so far was 17 1 8 minutes. What was the rate of change in the diver's elevation during the ascent? Round your answer to the nearest hundredth.
A scuba diver dove from the surface of the ocean to an elevation of −59
9
10
feet at a rate of −17.1 feet per minute. After spending 10.5 minutes at that elevation, the diver ascended to an elevation of −28
9
10
feet. The total time for the dive so far was 17
1
8
minutes. What was the rate of change in the diver's elevation during the ascent? Round your answer to the nearest hundredth.
The rate of change of the diver's elevation was
ft/min.
dr3s34rz
descent time: 4.25 min
hover time: 12.75 min
19.125 - 4.25-12.75 = 2.125 min
So, the ascent rate was (-28.9 - (-79.9))ft/2.125min = 24.0 ft/min