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Question

(a) What is the difference between 'distance travelled' by a body and its 'displacement' ? Explain with the help of a diagram.

(b) An ant travels a distance of 8 cm from P to Q and then moves a distance of 6 cm at right angles to PQ. Find its resultant displacement.

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Solution

a)

DISTANCE

DISPLACEMENT

1) It is the actual path covered by an object.

It is the shortest distance covered by an object.

2) It is a scalar quantity.

It is a vector quantity.

3) It cannot be negative.

It can be negative.


b) Assume a right angle triangle with base 8 cm and height 6 cm.

Then the resultant displacement will be equal to:

square root of 8 squared plus 6 squared end root equals square root of 64 plus 36 end root equals square root of 100
= 10 cm


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