Which pair has the same velocity?
Understand the Problem
The question is asking which pair of subjects has the same velocity. Velocity is a vector quantity that depends not only on speed but also on the direction of movement. We need to identify the correct pairs by comparing their speeds and directions.
Answer
A dog walking west at 3 km/h and a cat walking west at 3 km/h.
Answer for screen readers
The pair that has the same velocity is:
A dog walking west at 3 km/h and a cat walking west at 3 km/h.
Steps to Solve
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Understanding Velocity
Velocity is a vector quantity that includes both speed and direction. Two objects can have the same speed but different velocities if they are moving in different directions. -
Evaluating Each Option
We will analyze each pair given in the options to determine if they have the same velocity.-
Option 1: A boy walking east at 2 km/h and a man walking east at 4 km/h.
They are moving in the same direction (east) but at different speeds. Therefore, they have different velocities. -
Option 2: A car standing still and a truck driving in a circle at 4 km/h.
The car's velocity is 0 km/h (standing still), while the truck has a non-zero velocity, even though it is changing direction. Thus, they have different velocities. -
Option 3: A dog walking west at 3 km/h and a cat walking west at 3 km/h.
Both the dog and cat are moving at the same speed (3 km/h) and in the same direction (west). Therefore, they have the same velocity. -
Option 4: A girl walking west at 3 km/h and a boy walking south at 3 km/h.
Although they are moving at the same speed, they are going in different directions (one west, one south). Thus, they have different velocities.
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Conclusion
The only option where both objects have the same velocity (same speed and direction) is Option 3.
The pair that has the same velocity is:
A dog walking west at 3 km/h and a cat walking west at 3 km/h.
More Information
This problem emphasizes the importance of both speed and direction in determining velocity. Since velocity is a vector, two objects can have the same speed but different velocities if their directions differ.
Tips
- Ignoring Direction: A common mistake is to only consider speed, forgetting that direction affects velocity.
- Assuming Stillness Means Zero Velocity: Ensure to consider that an object’s motion (like circling) can still provide a non-zero velocity even if it's not moving in a straight line.
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