Which pair has the same velocity?

Understand the Problem

The question is asking to identify which pair of situations has the same velocity. This requires analyzing each pair to determine if they share the same speed and direction, as velocity is a vector quantity that includes both components.

Answer

A dog walking west at 3 km/h and a cat walking west at 3 km/h.

Steps to Solve

Identify velocity components Velocity is defined as speed in a given direction. For two situations to have the same velocity, both must have the same speed and direction.
Analyze each pair
- First pair: A boy walking east at 2 km/h and a man walking east at 4 km/h.
  - Different speeds (2 km/h vs 4 km/h).
- Second pair: A car standing still and a truck driving in a circle at 4 km/h.
  - The car has a speed of 0 km/h and the truck is moving, hence different velocities.
- Third pair: A dog walking west at 3 km/h and a cat walking west at 3 km/h.
  - Same speed (3 km/h) and both are moving in the same direction (west).
- Fourth pair: A girl walking west at 3 km/h and a boy walking south at 3 km/h.
  - Same speed (3 km/h) but different directions (west vs south).
Choose the correct pair From the analysis, the third pair (dog and cat) is the only one with the same velocity since both have the same speed and direction.

The pair with the same velocity is: A dog walking west at 3 km/h and a cat walking west at 3 km/h.

More Information

Velocity considers both the speed and direction of an object. In this case, both the dog and cat have identical speed and direction (3 km/h west), so they have the same velocity.

Tips

Confusing speed with velocity. Remember that speed is scalar (just a number) while velocity is a vector (includes direction).
Failing to check both speed and direction when determining if two situations have the same velocity.

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