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A car is moving with 20m/s velocity, another car is moving with a velocity of 50 m/s. What is the relative velocity of first car with respect to the second?
- a)30 m/s
- b)-30 m/s
- c)20 m/s
- d)25 m/s
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A car is moving with 20m/s velocity, another car is moving with a velo...
The formula for relative velocity is VR = Vector VA – Vector VB. Assuming the cars move in the same direction, the relative velocity = 20 - 50 = -30 m/s. The relative velocity of the second with respect to the first car is 30 m/s.
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A car is moving with 20m/s velocity, another car is moving with a velo...
Understanding Relative Velocity
Relative velocity is a concept that helps us analyze the motion of an object as observed from another moving object. It allows us to determine how fast one object is moving compared to another.
Given Velocities
- Car A (first car) is moving at a velocity of 20 m/s.
- Car B (second car) is moving at a velocity of 50 m/s.
Finding Relative Velocity
To find the relative velocity of Car A with respect to Car B, we use the formula:
Relative Velocity of A with respect to B = Velocity of A - Velocity of B
Calculating the Values
- Velocity of Car A = 20 m/s
- Velocity of Car B = 50 m/s
Now, substituting the values into the formula:
Relative Velocity = 20 m/s - 50 m/s
This results in:
Relative Velocity = -30 m/s
Interpretation of Results
The negative sign indicates that Car A is moving in the opposite direction relative to Car B. Thus, the relative velocity of the first car with respect to the second car is -30 m/s.
Conclusion
The correct answer is option 'B': -30 m/s, which signifies that Car A is moving slower than Car B when observed from Car B's perspective.
This understanding is crucial in physics, especially in scenarios involving collisions, tracking, or any two-object motion analysis.
Relative velocity is a concept that helps us analyze the motion of an object as observed from another moving object. It allows us to determine how fast one object is moving compared to another.
Given Velocities
- Car A (first car) is moving at a velocity of 20 m/s.
- Car B (second car) is moving at a velocity of 50 m/s.
Finding Relative Velocity
To find the relative velocity of Car A with respect to Car B, we use the formula:
Relative Velocity of A with respect to B = Velocity of A - Velocity of B
Calculating the Values
- Velocity of Car A = 20 m/s
- Velocity of Car B = 50 m/s
Now, substituting the values into the formula:
Relative Velocity = 20 m/s - 50 m/s
This results in:
Relative Velocity = -30 m/s
Interpretation of Results
The negative sign indicates that Car A is moving in the opposite direction relative to Car B. Thus, the relative velocity of the first car with respect to the second car is -30 m/s.
Conclusion
The correct answer is option 'B': -30 m/s, which signifies that Car A is moving slower than Car B when observed from Car B's perspective.
This understanding is crucial in physics, especially in scenarios involving collisions, tracking, or any two-object motion analysis.
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A car is moving with 20m/s velocity, another car is moving with a velocity of 50 m/s. What is the relative velocity of first car with respect to the second?a)30 m/sb)-30 m/sc)20 m/sd)25 m/sCorrect answer is option 'B'. Can you explain this answer?
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