Two postal delivery workers have different roles. 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?
a They each travel a distance of 0 miles
b They each have a displacement of 0 miles
c They have the same velocity
d They travel the same distance
d They travel the same distance
The correct statement must be d) They travel the same distance.
To determine which statement must be true about the two postal delivery workers, let's analyze each option:
a) They each travel a distance of 0 miles: This statement implies that both workers do not cover any distance while performing their delivery tasks. Since they travel from the post office to neighborhoods and back, it is highly unlikely that they would cover zero distance. Therefore, this statement is most likely false.
b) They each have a displacement of 0 miles: Displacement refers to the change in position of an object, considering both the distance and direction. If the workers start and end at the same location (the post office), then their displacement would be zero since the initial and final positions are the same. Hence, this statement could be true for the two postal delivery workers.
c) They have the same velocity: Velocity is a vector quantity that combines a physical object's speed and its direction. The statement indicates that both workers have the same velocity. Since they have different roles, their responsibilities and the routes they take might differ. Therefore, this statement is not necessarily true.
d) They travel the same distance: This statement suggests that both workers cover the same distance while performing their delivery duties. Since their roles are different, it is plausible that they would have different delivery routes and, consequently, different distances traveled. Thus, this statement is most likely false.
Considering the explanations above, the statement that must be true about the two postal delivery workers is:
b) They each have a displacement of 0 miles.