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 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.

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.

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.
Skip to navigation

Answer 1

To analyze the motion of the person based on the description of the graph:

• First 10 minutes: The person starts from the origin (0 km) and moves upward to 12 km at a steady rate. This indicates a constant positive speed, meaning they are moving away from home without changing speed.

• Last 10 minutes: The person is moving from 12 km back down to 0 km. This is a consistent movement toward home, representing a negative direction (as the position is decreasing).

Now comparing the two:

1. Speed: During the first 10 minutes, he maintains a constant speed moving away from home. In the last 10 minutes, he also maintains a constant speed while moving back toward home. However, the direction of movement is different (away from vs. towards).

2. Direction: The person moves away from home during the first 10 minutes and towards home during the last 10 minutes.

Based on this analysis, the correct comparison would be:

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

Thus, the correct response is:

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