A dolphin jumped above the surface of the water it reached an altitude of 3.5 meters above the surface of the water and then dove 10 meters below the surface of the water it went from its highest point above the water to its lowest depth in 12.5 seconds interpet the quotient to describe the average rate of change in the dolphins position give answer to nearest hundedth
To find the average rate of change in the dolphin's position, we need to calculate the total change in position (altitude) and divide it by the time taken.
The total change in position is the sum of the distance above and below the water's surface:
Total change = 3.5 meters (above) + 10 meters (below) = 13.5 meters
The time taken is given as 12.5 seconds.
Now, we can calculate the average rate of change:
Average rate of change = Total change / Time taken = 13.5 meters / 12.5 seconds
Rounding to the nearest hundredth:
Average rate of change = 1.08 meters per second.
To calculate the average rate of change in the dolphin's position, we need to divide the change in position by the time elapsed.
The change in position is the difference between the highest point above the water (3.5 meters) and the lowest depth below the water (-10 meters), which is 3.5 + (-10) = -6.5 meters.
The time elapsed is 12.5 seconds.
Therefore, the average rate of change in the dolphin's position is -6.5 meters / 12.5 seconds, which is approximately -0.52 meters/second (rounded to the nearest hundredth).
To calculate the average rate of change in the dolphin's position, we need to find the total change in position divided by the total change in time.
The total change in position is the sum of how high the dolphin jumped above the water's surface (3.5 meters) and how deep it dove below the surface (10 meters). So, the total change in position is 3.5 + 10 = 13.5 meters.
The total change in time is given as 12.5 seconds.
Now, we can calculate the average rate of change by dividing the total change in position by the total change in time:
Average rate of change = Total change in position / Total change in time
= 13.5 meters / 12.5 seconds
≈ 1.08 meters per second (rounded to the nearest hundredth)
Therefore, the average rate of change in the dolphin's position is approximately 1.08 meters per second.