To estimate the average rate of change of the speed of the flag between 1.46 seconds and 3.52 seconds, you typically need to calculate the change in the vertical position (height of the flag) divided by the change in time over that interval.
Since I cannot see the graph you mentioned, I can suggest that you follow these steps:
- Identify the height of the flag at 1.46 seconds and 3.52 seconds. Read the heights directly from the graph at these times.
- Calculate the change in height (Δheight) by subtracting the height at 1.46 seconds from the height at 3.52 seconds.
- Find the change in time (Δtime) which is \(3.52 - 1.46\).
- Compute the average rate of change using the formula: \[ \text{Average Rate of Change} = \frac{\Delta \text{height}}{\Delta \text{time}} \]
Based on the options given, if it’s found that the change in height was approximately 10 feet over a change in time of about 0.1 seconds, then your answer would be approximately 10 feet/second.
If you provide the heights at those specific times, I could assist further in calculating the average rate of change accurately.
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