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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 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.

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.

1 answer

To compare the motion during the first 10 minutes and the last 10 minutes based on the graph description provided:

  • First 10 minutes: The line slopes upward from the origin to 12 km, which indicates that the person is moving away from home and is accelerating as they are increasing their distance from home.

  • Last 10 minutes: The line slopes downward from 12 km to 0 km, indicating that the person is moving back toward home, thus changing direction and slowing down as the distance decreases.

Given this understanding, the correct statement that compares his motion during these two time segments is:

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

This response reflects the acceleration in the first segment and the deceleration in the last segment.