Final answer:
To have the same velocity as the blue car, another vehicle must also travel at 30 m/s East, sharing both the speed and direction, because velocity is a vector quantity that incorporates both magnitude and direction.
Step-by-step explanation:
The question you're asking revolves around the concept of velocity in Physics. Velocity is a vector quantity, meaning it has both magnitude and direction. To say another vehicle has the same velocity as the blue car traveling at 30 m/s East, it must also be traveling at 30 m/s in the same eastward direction.
For instance, let's consider two scenarios where velocity plays a pivotal role:
- In collision examples, the velocity of two cars before and after a collision is crucial to understanding the dynamics of the situation, including the velocity of the center of mass.
- In cases where two objects are moving in perpendicular directions, determining points of closest approach and resultant velocities requires understanding both speed and direction - the essential components of velocity.
If you're attempting to find a vehicle with the same velocity as the blue car, you must ensure it's also traveling east at 30 m/s, not just any direction. Otherwise, even if the speeds are the same, the velocities would differ due to the change in direction.