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Your classmate makes a claim. They say that the highest instantaneous speed that Bolt reached must have been within the twenty-metre segment where his average speed was highest.Explain whether your classmate's claim is correct or not.

Question

Your classmate makes a claim. They say that the highest instantaneous speed that Bolt reached must have been within the twenty-metre segment where his average speed was highest.Explain whether your classmate's claim is correct or not.

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Solution

Your classmate's claim is not necessarily correct. While it might seem logical to assume that the highest instantaneous speed would occur within the segment where the average speed was highest, this is not always the case.

Here's why:

  1. Average speed is calculated by dividing the total distance traveled by the total time taken. It does not account for variations in speed within that distance.

  2. Instantaneous speed, on the other hand, is the speed at a specific instant in time or at a specific point in the journey.

  3. Therefore, it's possible that Bolt could have reached his highest instantaneous speed outside of the twenty-meter segment where his average speed was highest. For example, he might have started off slower in that segment and then accelerated towards the end, resulting in a high average speed. But his highest instantaneous speed could have occurred elsewhere, where he sprinted at his fastest for a brief moment.

  4. So, without additional information about Bolt's speed at each point in his run, we cannot definitively say that his highest instantaneous speed occurred within the twenty-meter segment where his average speed was highest.

This problem has been solved

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