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walked slowly along the road, stopped to look at his watch, realized he…

Question

walked slowly along the road, stopped to look at his watch, realized he was late, and then started running.

Explanation:

Step1: Analyze the motion description

Bob first walks slowly (constant, slow speed), then stops (speed = 0, distance from start doesn't change), then runs (constant, faster speed than walking). We need a graph where distance from start increases slowly, then is constant (horizontal line), then increases faster.

Step2: Evaluate each graph

  • First graph: Two increasing segments, second steeper (no stop). Incorrect.
  • Second graph: Distance decreases, then increases. Incorrect (distance from start should not decrease).
  • Third graph: Distance increases, then constant, then decreases. Incorrect (distance from start shouldn't decrease).
  • Fourth graph (assuming the last one with a flat part then steeper? Wait, re - check. Wait, the correct graph should have: slow increase (walking), flat (stopped), fast increase (running). Wait, maybe I mislabeled. Wait, the first graph (leftmost) has two increasing parts, second steeper. No, the fourth graph (rightmost) has a slow increase, then flat (stopped), then steeper? Wait, no, the labels: Wait, the problem's graphs: Let's re - express. The key is: when moving, distance from start increases (positive slope). When stopped, slope is 0 (horizontal line). Walking: small slope, running: large slope.

Wait, the correct graph should have:

  1. Initial segment: positive slope (walking, slow)
  2. Middle segment: slope 0 (stopped, looking at watch)
  3. Final segment: positive slope (running, steeper than first)

Looking at the graphs: The fourth graph (labeled C? Or the left - most? Wait, no, the left - most has two increasing parts, second steeper (no stop). The right - most (fourth) has a slow increase, then flat, then steeper? Wait, maybe the fourth graph (the one with a flat part in the middle) is correct? Wait, no, the third graph has a flat part but then decreases. Wait, maybe I made a mistake. Wait, the description: "walked slowly along the road" (distance from start increases, slow speed: small slope), "stopped to look at his watch" (distance from start constant: horizontal line), "realized he was late, and then started running" (distance from start increases, faster speed: steeper slope than first).

So the graph should have:

  • First part: positive, small slope
  • Second part: horizontal (slope 0)
  • Third part: positive, large slope

Looking at the graphs, the fourth graph (rightmost) has a slow increase, then flat, then steeper? Wait, no, the third graph (labeled G) has an increase, then flat, then decrease. No. Wait, the left - most graph: two increasing, second steeper (no stop). The fourth graph (right - most) has a slow increase, then flat, then steeper? Wait, maybe the correct graph is the one with a flat segment (stopped) and then steeper. Wait, maybe the fourth graph (the one with a flat part in the middle) is correct. Wait, no, the third graph (G) has a flat part but then decreases. So maybe the fourth graph (the right - most) is correct? Wait, no, let's re - check the labels. Wait, the user's image: four graphs. Let's assume the fourth graph (rightmost) has:

  • First segment: slow increase (walking)
  • Second segment: flat (stopped)
  • Third segment: steeper increase (running)

Yes, that matches. So the correct graph is the fourth one (assuming the right - most graph has that pattern).

Answer:

The graph that represents Bob's motion is the fourth graph (with a slow - increasing segment, a flat segment, and then a steeper - increasing segment) as it shows walking (slow increase), stopping (flat), and running (steeper increase) in terms of distance from the starting point over time.