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A body A going from south to North and body B is going from west to east. Then direction of relative velocity of A with respect to B is
- a)North-West
- b)South-West
- c)North-East
- d)South-East
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A body A going from south to North and body B is going from west to ea...
To find the direction of the relative velocity of body A with respect to body B:
- Body A moves north, and body B moves east.
- The relative velocity of A with respect to B is the vector difference: velocity of A minus the velocity of B.
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A body A going from south to North and body B is going from west to ea...
Understanding Relative Velocity
Relative velocity is the velocity of one body as observed from another body. To determine the direction of the relative velocity of body A with respect to body B, we can visualize their motion on a coordinate plane.
Direction of Body A
- Body A is moving from South to North.
- This can be represented as moving along the positive y-axis.
Direction of Body B
- Body B is moving from West to East.
- This can be represented as moving along the positive x-axis.
Calculating Relative Velocity
To find the relative velocity of A with respect to B (V_A/B), we use the formula:
V_A/B = V_A - V_B
- Since A is moving north, its velocity vector can be represented as (0, v_A) where v_A is the speed of A.
- Since B is moving east, its velocity vector can be represented as (v_B, 0) where v_B is the speed of B.
Combining the Vectors
Using the above vectors in the relative velocity equation:
V_A/B = (0, v_A) - (v_B, 0) = (-v_B, v_A)
This vector points in the North-West direction because:
- The x-component is negative (towards the West).
- The y-component is positive (towards the North).
Conclusion
Thus, the direction of the relative velocity of A with respect to B is North-West. Therefore, the correct answer is option A.
Relative velocity is the velocity of one body as observed from another body. To determine the direction of the relative velocity of body A with respect to body B, we can visualize their motion on a coordinate plane.
Direction of Body A
- Body A is moving from South to North.
- This can be represented as moving along the positive y-axis.
Direction of Body B
- Body B is moving from West to East.
- This can be represented as moving along the positive x-axis.
Calculating Relative Velocity
To find the relative velocity of A with respect to B (V_A/B), we use the formula:
V_A/B = V_A - V_B
- Since A is moving north, its velocity vector can be represented as (0, v_A) where v_A is the speed of A.
- Since B is moving east, its velocity vector can be represented as (v_B, 0) where v_B is the speed of B.
Combining the Vectors
Using the above vectors in the relative velocity equation:
V_A/B = (0, v_A) - (v_B, 0) = (-v_B, v_A)
This vector points in the North-West direction because:
- The x-component is negative (towards the West).
- The y-component is positive (towards the North).
Conclusion
Thus, the direction of the relative velocity of A with respect to B is North-West. Therefore, the correct answer is option A.
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A body A going from south to North and body B is going from west to east. Then direction of relative velocity of A with respect to B isa)North-Westb)South-Westc)North-Eastd)South-EastCorrect answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A body A going from south to North and body B is going from west to east. Then direction of relative velocity of A with respect to B isa)North-Westb)South-Westc)North-Eastd)South-EastCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body A going from south to North and body B is going from west to east. Then direction of relative velocity of A with respect to B isa)North-Westb)South-Westc)North-Eastd)South-EastCorrect answer is option 'A'. Can you explain this answer?.
A body A going from south to North and body B is going from west to east. Then direction of relative velocity of A with respect to B isa)North-Westb)South-Westc)North-Eastd)South-EastCorrect answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A body A going from south to North and body B is going from west to east. Then direction of relative velocity of A with respect to B isa)North-Westb)South-Westc)North-Eastd)South-EastCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A body A going from south to North and body B is going from west to east. Then direction of relative velocity of A with respect to B isa)North-Westb)South-Westc)North-Eastd)South-EastCorrect answer is option 'A'. Can you explain this answer?.
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