A dolphin jumped above the surface of water it reached an altitude of 3.5 m above the surface of water and then do 10 m below the surface of water it went from the highest point above the water to its lowest up in 12.5 seconds interpret the quotient to describe the average rate of change in the dolphins position give your answer to the nearest hundreds
To find the average rate of change in the dolphin's position, we need to determine the total change in the dolphin's position and divide it by the total time taken.
The total change in the dolphin's position is the sum of the altitude above the water and the depth below the water: 3.5 m + 10 m = 13.5 m.
The total time taken is given as 12.5 seconds.
Now, we can calculate the average rate of change:
Average rate of change = Total change in position / Total time taken
= 13.5 m / 12.5 s
Dividing 13.5 by 12.5, we get approximately 1.08.
Therefore, the average rate of change in the dolphin's position is approximately 1.08 meters per second.
The scuba diver was at a depth below the surface when she saw something interesting about 10 m lower she made the descent in 10.1 seconds interpret the quotient to describe the rate of change in the divers that give your answer to the nearest hundred
To find the rate of change in the diver's depth, we need to determine the change in depth and divide it by the time taken.
The change in depth is given as 10 m.
The time taken is given as 10.1 seconds.
Now, we can calculate the rate of change:
Rate of change = Change in depth / Time taken
= 10 m / 10.1 s
Dividing 10 by 10.1, we get approximately 0.99.
Therefore, the rate of change in the diver's depth is approximately 0.99 meters per second.
To find the average rate of change in the dolphin's position, we need to calculate the change in position and divide it by the time elapsed.
The change in position can be calculated by subtracting the initial position (3.5 m) from the final position (-10 m):
Change in position = -10 m - 3.5 m = -13.5 m
The time elapsed is given as 12.5 seconds.
Now we can calculate the average rate of change by dividing the change in position by the time elapsed:
Average rate of change = Change in position / Time elapsed
= -13.5 m / 12.5 s
To find the answer to the nearest hundreds, we can round the calculated value:
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.