A dolphin jumped above the surface of the water. It reached an attitude of 3.5 m above the surface of the water, and then dove 10 m below the surface of the water it went from its highest point above the water to its lowest depth and 12.5 seconds, interpret the quotient to describe the average rate of change in the Dolphins position give your answer to the nearest, hundredth
To find the average rate of change in the dolphin's position, we need to calculate the change in position divided by the change in time.
The change in position is the sum of the distance above and below the water's surface, which is 3.5 m (above) + 10 m (below) = 13.5 m.
The change in time is 12.5 seconds.
Now we can calculate the average rate of change:
Average rate of change = change in position / change in time
Average rate of change = 13.5 m / 12.5 s = 1.08 m/s.
Therefore, the average rate of change in the dolphin's position is approximately 1.08 m/s.
To find the average rate of change in the dolphin's position, we can use the formula for average rate of change:
Average Rate of Change = (Change in Position) / (Change in Time)
In this case, the change in position is the total distance traveled by the dolphin, which is the sum of its highest point above the water (3.5 m) and its lowest depth below the surface (10 m):
Change in Position = 3.5 m + 10 m
= 13.5 m
The change in time is given as 12.5 seconds.
Average Rate of Change = 13.5 m / 12.5 s
= 1.08 m/s
Therefore, the average rate of change in the dolphin's position is approximately 1.08 meters per second.
To find the average rate of change in the dolphin's position, we need to determine the change in position (vertical distance) divided by the change in time.
In this case, the dolphin went from a height of 3.5 m above the water to a depth of 10 m below the water. So, the change in position is 3.5 m + 10 m = 13.5 m.
The dolphin took 12.5 seconds to move from its highest point above the water to its lowest depth. Thus, the change in time is 12.5 seconds.
To calculate the average rate of change, we will divide the change in position by the change in time:
Average rate of change = change in position / change in time
Average rate of change = 13.5 m / 12.5 sec
To express the average rate of change to the nearest hundredth, we can divide 13.5 by 12.5:
Average rate of change ≈ 1.08 m/sec
Therefore, the average rate of change in the dolphin's position is approximately 1.08 m/sec.