Distance Traversed and Displacement


 
 
Concept Explanation
 

Distance Traversed and Displacement

Distance Travelled and Displacement:

The distance travelled by a body is the actual length of the path covered by it. Irrespective of the direction in which the body travels. It is a scalar quantity. Its SI unit is Metre.

The displacement is the change in the position of the object when it moves from a given position to another position. It gives the shortest path measured in the direction from the initial position to the final position of the object. It’s a vector quantity. Its SI unit is metre.

We can calculate speed with the help of distance travelled and velocity using displacement of the object.

 Question : John travels 250 miles to North but then back tracks to South for 105 miles to pick up a friend. What is john's total displacement?

 

Answer: John's starting position X_1 = 0 Her final position X_2 is the distance travelled N minus the distance South.

Calculating displacement, i.e D

D  =  Delta X

D = Delta X =  (X_2 -  X_1 )

D = (250 - 105)

D = 145 miles N

 

Sample Questions
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Question : 1

Supriya starts from her home at point B on foot. She reaches point A then takes a cycle from point A. She then goes to garden at point C and then to her home at point B. What is her displacement for the part of the journey on Cycle?

 

Right Option : A
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Question : 2

A body is moving along a circular path of radius 7 m.  While it reaches diametrically opposite end in its first rotation , distance and displacement covered by it is ________

Right Option : B
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Question : 3

Ramesh starts on a cycle from point A. He then goes to garden

at point C and then to his home at point B. How much distance has he moved.

 

Right Option : D
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