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Question

The magnitude of average velocity is always equal to the average speed.


A
True
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B
False
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Solution

The correct option is B False

1. Speed is a distance covered in unit time.

2. Velocity is the displacement covered in unit time.

Speed and Velocity - GeeksforGeeks

The diagrammatic representation above shows a condition in which the distance and displacement from point A to point B are different.

  1. Due to the difference in the magnitude of distance and displacement, the speed and velocity also vary from each other.
  2. The magnitude of average speed and average velocity is not the same because speed and velocity are not the same.
  3. Speed is a scalar while velocity is a vector. A vector has magnitude and direction. So a change in direction of a vector is an acceleration even if the magnitude doesn’t change.

Therefore,

The magnitude of average velocity is not always equal to that of average speed.

Hence, the statement is false.


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