Relative Velocity In 1d
Mediumphysics
Car A moves east at 20 m/s. Car B moves west at 15 m/s along the same straight road. What is the velocity of B relative to A?
Select the correct option:
Solution
Incorrect! Answer:
35 m/s west
- Sign Convention: Let East be the positive direction (i^).
- Define Velocities:
- vA=+20 m/s (20 m/s East)
- vB=−15 m/s (15 m/s West)
- Relative Velocity Formula: vBA=vB−vA.
- Substitution: vBA=(−15)−(+20)=−35 m/s.
- Interpretation: The negative sign indicates the direction is West.
- Final Result: The velocity of B relative to A is 35 m/s West.
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About This Question
- Subject
- physics
- Chapter
- kinematics
- Topic
- relative velocity in 1d
- Difficulty
- Medium
- Year
- 2025
Solution
Correct Answer:
35 m/s west
- Sign Convention: Let East be the positive direction (i^).
- Define Velocities:
- vA=+20 m/s (20 m/s East)
- vB=−15 m/s (15 m/s West)
- Relative Velocity Formula: vBA=vB−vA.
- Substitution: vBA=(−15)−(+20)=−35 m/s.
- Interpretation: The negative sign indicates the direction is West.
- Final Result: The velocity of B relative to A is 35 m/s West.
This medium difficulty physics question is from the chapter kinematics, covering the topic of relative velocity in 1d. It appeared in the 2025 exam.
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