Use the graph showing the motion of a person over time to answer the question.

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.

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.

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.

Answer 1

To analyze the motion, we can break down the graph into different segments:

1. First 10 minutes (0 to 10 minutes): The graph shows a line sloping upward, indicating that the person is moving away from home. This means he is traveling at a certain speed, and as the line slopes upward, he is likely moving faster as time progresses within this segment.

2. Last 10 minutes (45 to 50 minutes): The graph shows the line is flat at 0 km, indicating that the person is at home and not moving. This means there is no speed or motion taking place during these final minutes, a stark contrast to the first segment of the graph.

With this analysis, we can compare the observations:

• During the first 10 minutes, the person is moving away from home and has a positive speed.
• During the last 10 minutes (from 40 to 50 minutes), he is stationary at home (position remains at 0 km).

Given these observations, the statement that accurately reflects the motion during these two segments is:

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

This correctly describes that there is movement (outward direction and a positive speed) in the first 10 minutes compared to no movement (a flat line at home) during the last segment.