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Q.

The numerical ratio of displacement to distance covered is always:

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a

Equal to or less than one

b

Equal to one

c

Always more than 1

d

Less than one

answer is C.

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Detailed Solution

To answer this question, we will employ the idea that distance and displacement are both vectors, but that only their magnitudes are taken into account when calculating the ratio. And use a few instances to assess their ratio.
While distance is measured by the length of the road, displacement is the distance that must be travelled in the smallest amount of time.
Look for a straight-going vehicle that is not curved. When the automobile stops, its displacement and the distance travelled are equal.
The distance travelled is equal to the length of the path when the automobile makes a turn and then returns to its original location.
For further information on distance and displacement, check the provided figure.

Question Image

The travel from point A to point B along the route ACDB in the following diagram represents the separation between points A and B.
However, displacement occurs when a person moves from point A to point B along the line APB.
The displacement is the smallest distance between two places, as is common knowledge.
Therefore, distance can be larger than or equal to displacement.
As a result, the displacement-to-distance ratio is always either equal to or below 1.

Hence, the correct answer is option C.

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