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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

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 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.

1 answer

To analyze the motion described in the graph, let's break it down:

  1. First 10 minutes:

    • The line begins at the origin (0 km) and slopes upward to 12 km at 10 minutes. This indicates a positive position change, meaning he is moving away from home. During this time, his speed is increasing because he is accelerating upward to reach 12 km.

  2. Last 10 minutes (from 35 minutes to 45 minutes):

    • The line slopes downward from 12 km back to 0 km. This indicates a negative position change, meaning he is moving back towards home. In this phase, he is slowing down as he approaches home, as the line is descending.

With that information in mind, the correct statement about his motion is:

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

This response accurately reflects that he accelerates positively while moving away from home at the start and decelerates while returning home at the end.