Question

Your neighbor walks down the block at a constant velocity, stops to catch their breath for a little while at the end of the block and then turns around and walks at a slower velocity than before back to their home choose the position vs time graph that best matches this situation

Option A:
•Constant velocity in one direction.
•Abrupt stop.
•Constant velocity in the opposite direction (slower).
Option B:
•Constant velocity in one direction.
•Abrupt stop.
• Instantaneous return to the starting point.
Option C:
•Constant velocity in one direction.
•Gradual decrease in velocity.
•Constant velocity in the opposite direction (slower).
Option D:
•Constant velocity in one direction.
•Abrupt stop.
•Constant velocity in the opposite direction (same speed).

Answer 1

Option A best matches the situation where a neighbor walks at constant velocity, stops to catch their breath, and then walks back at a slower velocity, as it includes all stages of the journey on a position vs. time graph with the correct slopes and flat segment. The correct answer is option Option A: •Constant velocity in one direction.

Step-by-step explanation:

The scenario you've described involves your neighbor walking with different velocities and includes a period of rest. To represent this situation with a position vs. time graph, we need to consider what the graph would look like during each stage of the neighbor's journey.

Initially, your neighbor walks at a constant velocity, which would be shown as a straight line with a positive slope on a position vs. time graph. When your neighbor stops to catch their breath, this would appear as a horizontal line, indicating no change in position over that time. Upon returning at a slower velocity, the slope of the line would still be positive (because they are returning to the start so position is decreasing), but less steep than the outgoing trip, reflecting the reduced speed.

Considering the descriptions listed for options A through D, the correct option is Option A. This option describes the situation with a constant velocity walk, followed by an abrupt stop, and then a constant, but slower return velocity, matching the described scenario.