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A person moves 30m north and then 20m east and finally 30√2 m in the south west then displacement?
the answer is 10m West?
the answer is 10m West?
Most Upvoted Answer
A person moves 30m north and then 20m east and finally 30√2 m in the s...
Understanding the Movement
The person moves in three segments:
- 30m North
- 20m East
- 30√2 m Southwest
Step 1: Analyzing Each Segment
1. First Segment:
- Moves 30m North.
- Position: (0, 30)
2. Second Segment:
- Moves 20m East.
- Position: (20, 30)
3. Third Segment:
- Moves 30√2 m Southwest.
- Southwest direction means moving equal parts South and West.
- The components of this movement:
- South: (30√2 * cos(45°)) = 30 meters
- West: (30√2 * sin(45°)) = 30 meters
- New position after this segment:
- X-coordinate: 20 - 30 = -10
- Y-coordinate: 30 - 30 = 0
- Final Position: (-10, 0)
Step 2: Calculating Displacement
- Displacement is the straight-line distance from the initial position (0, 0) to the final position (-10, 0).
Step 3: Displacement Calculation
- Displacement = Final Position - Initial Position
- Displacement = (-10 - 0, 0 - 0) = (-10, 0)
Conclusion
The displacement vector indicates a movement of 10 meters to the West from the origin. Thus, the final displacement is indeed 10m West.
The person moves in three segments:
- 30m North
- 20m East
- 30√2 m Southwest
Step 1: Analyzing Each Segment
1. First Segment:
- Moves 30m North.
- Position: (0, 30)
2. Second Segment:
- Moves 20m East.
- Position: (20, 30)
3. Third Segment:
- Moves 30√2 m Southwest.
- Southwest direction means moving equal parts South and West.
- The components of this movement:
- South: (30√2 * cos(45°)) = 30 meters
- West: (30√2 * sin(45°)) = 30 meters
- New position after this segment:
- X-coordinate: 20 - 30 = -10
- Y-coordinate: 30 - 30 = 0
- Final Position: (-10, 0)
Step 2: Calculating Displacement
- Displacement is the straight-line distance from the initial position (0, 0) to the final position (-10, 0).
Step 3: Displacement Calculation
- Displacement = Final Position - Initial Position
- Displacement = (-10 - 0, 0 - 0) = (-10, 0)
Conclusion
The displacement vector indicates a movement of 10 meters to the West from the origin. Thus, the final displacement is indeed 10m West.
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A person moves 30m north and then 20m east and finally 30√2 m in the south west then displacement? the answer is 10m West?
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A person moves 30m north and then 20m east and finally 30√2 m in the south west then displacement? the answer is 10m West? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A person moves 30m north and then 20m east and finally 30√2 m in the south west then displacement? the answer is 10m West? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A person moves 30m north and then 20m east and finally 30√2 m in the south west then displacement? the answer is 10m West?.
A person moves 30m north and then 20m east and finally 30√2 m in the south west then displacement? the answer is 10m West? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A person moves 30m north and then 20m east and finally 30√2 m in the south west then displacement? the answer is 10m West? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A person moves 30m north and then 20m east and finally 30√2 m in the south west then displacement? the answer is 10m West?.
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