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Question

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

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Solution

Instantaneous velocity of the object is the velocity of the object at a particular time or instant. The interval is so small that it is considered that the direction of motion of the object is not changing due to which the displacement and distance becomes equal.

Therefore, the instantaneous speed and instantaneous velocity are equal.


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