Question

A farmer makes a complete round of his farm, which is a square of 200mx200m. What is the distance and displacement of the farmer after completing one full round​

Answer 1

$\huge\sf\pink{Answer}$

☞ Distance is 800 m & Displacement is 0 m

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$\huge\sf\blue{Given}$

✭ A father completes a whole round of his square field of side 200 m

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$\huge\sf\gray{To \:Find}$

◈ Distance & Displacement travelled by the farmer?

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$\huge\sf\purple{Steps}$

We know that the distance travelled by a body is equal to total length covered by it so here to find the distance travelled by the farmer we have to find the perimeter of the square, that is,

$\underline{\boxed{\sf Perimeter_{Square} = 4a}}$

Substituting the given values,

➝ $\sf Perimeter = 4\times 200$

➝ $\sf Perimeter = 800 \ m$

➝ $\sf \red{Distance = 800 \ m}$

We also know that the displacement of a body is equal to the shortest distance between two points so here as the farmer completes a full round he will return to the point in which he started and so the shortest distance will be,

➳ $\sf \orange{Displacement = 0 \ m}$

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☯ $\large\underline{\sf Know \ More}$

»» Distance is a scalar quantity & Displacement is a vector quantity

»» Distance travelled by a moving body can't be 0 whereas Displacement of a moving body can be zero

»» Distance is either equal to or greater than the Displacement and can never be smaller than Displacement

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