Two postal delivery workers have different routes. They both travel from the post office, to neighborhoods to deliver mail, and then back to the post office. Which statement must be true about the two postal delivery workers?(1 point)

Responses

They each travel a distance of 0 miles.

They have the same velocity.

They each have a displacement of 0 miles.

They travel the same distance.

They travel the same distance.

To determine which statement must be true about the two postal delivery workers, let's analyze the options provided.

1. "They each travel a distance of 0 miles."
This statement cannot be true since postal delivery workers travel to neighborhoods to deliver mail and then back to the post office. Therefore, they do travel a certain distance.

2. "They have the same velocity."
Velocity is a vector quantity that includes both magnitude and direction. Since the question does not provide any information about the direction or speed of the workers, we cannot conclude that they have the same velocity. Hence, this statement cannot be determined.

3. "They each have a displacement of 0 miles."
Displacement refers to the change in position from the starting point to the ending point. In this case, since the postal delivery workers travel from the post office to neighborhoods and then back to the post office, their starting and ending points are the same. Therefore, their displacement can indeed be considered as 0 miles, making this statement true.

4. "They travel the same distance."
This statement cannot be concluded without additional information. The question only mentions that they have different routes without any details about the specific distance traveled.

So, the statement that must be true about the two postal delivery workers is: "They each have a displacement of 0 miles."

The statement that must be true about the two postal delivery workers is: They travel the same distance.