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In Exercises 3.13 and 3.14, we have care...

In Exercises 3.13 and 3.14, we have carefully distinguished between average speed and magnitude of average velocity. No such distinction is necessary when we consider instantaneous speed and magnitude of velocity. The instantaneous speed is always equal to the magnitude of instantaneous velocity. Why?

Text Solution

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Because, for an arbitrarily small interval of time, the magnitude of displacement is equal to the length of the path.
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