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Q.

Is it true that average speed is a scalar quantity?

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a

True

b

False

answer is A.

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Detailed Solution

The above statement is True.
Physical quantities known as scalars have simple magnitude and no direction. For example, the ratio of distance to time, where both distance and time are scalar values, defines speed as a scalar number. Therefore, the ratio of two scalar quantities is also a scalar quantity.
For example, physical values with both magnitude and direction are known as vectors. As the ratio of displacement to time, where displacement is a vector quantity and time is a scalar quantity, velocity is a vector quantity. Keep in mind that the vector-to-scalar ratio is a vector quantity.
Now, the average speed is given by:

S_{avg} = \frac{D_{total}}{T_{total}}

In this situation, the average speed is a scalar quantity with magnitude solely because total distance and total time are both scalar quantities.

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