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STATEMENT - 1 : Distance is a vector qua...

STATEMENT - 1 : Distance is a vector quantity and displacement is a scalar quantity.
STATEMENT - 2 : A person makes a round - trip journey, finishing where she started. The displacement for the trip is 0 and the distance is some nonzero value.
STATEMENT - 3 : A person starts at position A and finishes at position B. The distance for the trip is the length of the segment measured from A to B.

A

T T T

B

F T F

C

F F F

D

F T T

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze each statement one by one and determine whether they are true or false based on the definitions of distance and displacement. ### Step 1: Analyze Statement 1 **Statement 1**: Distance is a vector quantity and displacement is a scalar quantity. - **Definition**: - Distance is defined as the total path length traveled by an object, regardless of direction. It is a scalar quantity. - Displacement is defined as the change in position of an object, measured in a straight line from the initial to the final position, and it has both magnitude and direction. Therefore, it is a vector quantity. **Conclusion**: Statement 1 is **false**. ### Step 2: Analyze Statement 2 **Statement 2**: A person makes a round-trip journey, finishing where she started. The displacement for the trip is 0 and the distance is some non-zero value. - **Explanation**: - In a round-trip journey, the initial and final positions are the same. Thus, the displacement, which is the straight-line distance from the starting point to the ending point, is zero. - However, the distance traveled is the total length of the path taken during the journey, which is non-zero. **Conclusion**: Statement 2 is **true**. ### Step 3: Analyze Statement 3 **Statement 3**: A person starts at position A and finishes at position B. The distance for the trip is the length of the segment measured from A to B. - **Explanation**: - The distance traveled from point A to point B is indeed the length of the path taken between these two points. This is the definition of distance, which is a scalar quantity. - The distance is simply the total length of the path, regardless of the direction. **Conclusion**: Statement 3 is **true**. ### Final Conclusion - Statement 1: **False** - Statement 2: **True** - Statement 3: **True** Thus, the correct option is: **False, True, True**. ---
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