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Question
Use this graph to answer the question.

A velocity versus time line graph.

Which statement about the object represented in the graph is correct?

(1 point)
Responses

Its velocity is zero after 60 seconds.
Its velocity is zero after 60 seconds.

It's acceleration is positive from 0 seconds to 60 seconds.
It's acceleration is positive from 0 seconds to 60 seconds.

Its acceleration is 0 from 0 seconds to 60 seconds.
Its acceleration is 0 from 0 seconds to 60 seconds.

Its position is constant after 60 seconds.
Its position is constant after 60 seconds.
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1 answer

To accurately determine which statement is correct about the object represented in the velocity versus time graph, we need to analyze the options based on common interpretations of such graphs.

  1. Its velocity is zero after 60 seconds.
    If the graph indicates that the velocity line touches the time axis (horizontal axis) at 60 seconds, then this statement is correct. Otherwise, if it remains above the axis, this statement is false.

  2. It's acceleration is positive from 0 seconds to 60 seconds.
    If the graph shows a positive slope (going up) from the start to 60 seconds, this would indicate positive acceleration. If the line is flat (horizontal) during this time, acceleration is zero. If it’s sloping downward, then acceleration is negative.

  3. Its acceleration is 0 from 0 seconds to 60 seconds.
    This statement is true if the graph is a horizontal line from 0 to 60 seconds, indicating constant velocity (which means zero acceleration).

  4. Its position is constant after 60 seconds.
    If the velocity is zero after 60 seconds, then the position remains constant. However, if the velocity is above zero, then the object is moving, meaning its position is not constant.

To summarize:

  • If the line is horizontal between 0 to 60 seconds, then acceleration is 0.
  • If the line returns to the time axis at 60 seconds, the velocity is zero after 60 seconds, leading to a constant position thereafter.

Without the specific graph, it's challenging to conclude definitively. However, you can follow this analysis to select the correct answer based on the details in your velocity versus time graph.

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