The graph depicts Peter's journey, showing his position from home in kilometers over time in minutes. The journey starts at home (0 km) and progresses in a straight line upwards, indicating a constant speed, reaching a distance of 12 km from home at the 10-minute mark. Peter then maintains this distance for 20 minutes, traveling at a steady speed of 0 km/min. After 30 minutes, he begins to travel back home, again at a steady speed, reaching home at the 45-minute mark. The graph ends at the 50-minute mark, showing Peter remaining at home.

Question

Which statement correctly compares his motion during the first 10 minutes to 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 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 going slower and in a different direction during the first 10 minutes than in the last 10 minutes.

Answer 1

To assess Peter's motion during the first 10 minutes compared to the last 10 minutes based on the graph descriptions provided:

1. First 10 Minutes: Peter starts at home (0 km) and travels at a constant speed, reaching 12 km from home at the 10-minute mark. This indicates he is moving away from home at a steady pace.

2. Last 10 Minutes: From the 40-minute mark to the 50-minute mark, Peter is at home again after returning from his journey. He traveled back home from 12 km over 15 minutes, which means he was moving at a constant speed as well during this return trip.

Now let's evaluate the given statements:

• His acceleration increases during the first 10 minutes and decreases during the last 10 minutes.
  This is incorrect because his acceleration is constant in both phases (no change in speed).

• He is speeding up during the first 10 minutes and slowing down during the last 10 minutes.
  This is also incorrect. He is moving at a constant speed in both intervals.

• He is going faster and in a different direction during the first 10 minutes than in the last 10 minutes.
  This statement is true. During the first 10 minutes, he is moving away from home (positive direction), while during the last 10 minutes, he is returning home (negative direction).

• He is going slower and in a different direction during the first 10 minutes than in the last 10 minutes.
  This is not correct, as he is moving faster during the first 10 minutes than when coming back, which would mean he was faster in the outward journey.

The correct answer is:

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