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 have the same velocity.
They have the same velocity.

They travel the same distance.
They travel the same distance.

They each travel a distance of 0 miles.
They each travel a distance of 0 miles.

They each have a displacement of 0 mile

They each have a displacement of 0 miles.

The correct statement is: They each have a displacement of 0 miles.

To determine the correct statement about the two postal delivery workers, we need to understand the concept of velocity and displacement.

Velocity is a vector quantity that represents the speed and direction of an object's motion. It is given by the formula: velocity = displacement / time.

Displacement, on the other hand, is a vector quantity that represents the change in position of an object. It is the shortest distance between the initial and final positions, regardless of the path taken.

So, let's assess the given statements:

1. "They have the same velocity" - This statement is not necessarily true. The two postal workers may have different velocities depending on their speed and direction of motion.

2. "They travel the same distance" - This statement is also not necessarily true. The two postal workers may have different routes and thus travel different distances.

3. "They each travel a distance of 0 miles" - This statement cannot be true since postal workers have the task of delivering mail, which requires them to travel a certain distance.

4. "They each have a displacement of 0 mile" - This statement is the most likely to be true. Since the postal workers start and end at the same location (the post office), their displacement would be zero. This means that regardless of their routes and distances traveled, if they end up at the same location, their displacement would be zero.

Therefore, the correct statement would be: "They each have a displacement of 0 mile."

Matt is walking at 1.25 miles per hour to the east. Jaime is walking at 1.25 miles per hour to the south. Which statement describes the movement of Matt and Jaime?(1 point)

Responses

They have different speeds and different velocities.
They have different speeds and different velocities.

They have different speeds but the same velocity.
They have different speeds but the same velocity.

They have the same speed and the same velocity.
They have the same speed and the same velocity.

They have the same speed but different velocities.

They have the same speed but different velocities.

Force and Motion Unit Test

3 of 153 of 15 Items
Question
Use the graph showing the motion of a person over time to answer the question.

The vertical axis is labeled, position from home (km), and ranges from a 0 km to 14 km. The horizontal axis is labeled, time (minutes) and labeled from 0 minutes to 50 minutes. The graph shows a line that starts from the origin and slopes upward to 12 km at 10 minutes. The line remains at 12 km from 10 minutes to 30 minutes. The line slopes downward from 12 km to 0 km from 30 minutes to 45 minutes.

Which statement correctly compares his motion during the first 10 minutes to his motion during the last 10 minutes?

(1 point)
Responses

He is going slower and in a different direction during the first 10 minutes than in the last 10 minutes.
He is going slower and in a different direction during the first 10 minutes than in the last 10 minutes.

His acceleration increases during the first 10 minutes and decreases during the last 10 minutes.
His acceleration increases during the first 10 minutes and decreases during the last 10 minutes.

He is going faster and in a different direction during the first 10 minutes than in the last 10 minutes.
He is going faster and in a different direction during the first 10 minutes than in the last 10 minutes.

He is speeding up during the first 10 minutes and slowing down during the last 10 minutes.

He is speeding up during the first 10 minutes and slowing down during the last 10 minutes.