A dolphin jumped above the surface of the water. It reached an altitude 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 death in 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 determine the change in position relative to the time it took.
The dolphin reached an altitude of 3.5 m above the surface of the water and then dove 10 m below the surface of the water. This means the total change in position was (3.5 m + 10 m) = 13.5 m.
The time it took for this change in position was 12.5 seconds.
To find the average rate of change, we divide the change in position by the time taken: 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 need to calculate the displacement (change in position) divided by the time it took.
The dolphin reached an altitude of 3.5 m above the surface, and then dove 10 m below the surface. Thus, the displacement is the sum of these distances, which is 3.5 + 10 = 13.5 m.
The time it took for the dolphin to go from its highest point above the water to its lowest depth is 12.5 seconds.
To calculate the average rate of change, divide the displacement by the time:
Average rate of change = Displacement / 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 interpret the quotient describing the average rate of change in the dolphin's position, we need to calculate the average rate of change. Average rate of change is determined by dividing the change in position by the change in time.
In this case, the dolphin's position changes from an altitude of 3.5 m above the water to a depth of 10 m below the surface of the water. We can calculate the change in position by subtracting the initial position from the final position:
Change in position = Final position - Initial position
Change in position = (-10 m) - 3.5 m
Change in position = -13.5 m
Next, we need to calculate the change in time. In the given scenario, the dolphin goes from its highest point above the water to its lowest depth in 12.5 seconds.
Change in time = Final time - Initial time
Change in time = 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 seconds
Dividing -13.5 m by 12.5 seconds gives us:
Average rate of change ≈ -1.08 m/s
Therefore, the average rate of change in the dolphin's position is approximately -1.08 m/s.