To estimate the average rate of change of the speed of the flag between 1.46 seconds and 3.53 seconds, you would calculate the change in speed (vertical axis) divided by the change in time (horizontal axis) over that interval.
Assuming the graph represents the speed of the flag over time, here’s how you would approach it:
- Determine the speed of the flag at \( t = 1.46s \).
- Determine the speed of the flag at \( t = 3.53s \).
- Calculate the change in speed: \[ \text{Change in speed} = \text{Speed at } 3.53s - \text{Speed at } 1.46s \]
- Calculate the change in time: \[ \text{Change in time} = 3.53s - 1.46s \]
- Finally, compute the average rate of change: \[ \text{Average rate of change} = \frac{\text{Change in speed}}{\text{Change in time}} \]
Please note that without the specific values from the graph, I cannot compute the exact numbers. However, based on your provided options, you will want to apply these steps with the correct values from the graph to determine which answer fits based on the calculated average rate of change in speed between the specified times. If you can provide those values, I can help you compute the average rate of change!