Question Solved1 Answer Learning Goal: To graph position, velocity, and acceleration of an object given a table of positions vs. time. The table below shows the \( x \) coordinate of a moving object. The position is tabulated at one-second intervals. The \( x \) coordinate is indicated below each time. Figure 1 of 3 Which graph (Figure 1) best represents the function \( x(t) \), Learning Goal: To graph position, velocity, and acceleration of an object given a table of positions vs. time. The table below shows the \( x \) coordinate of a moving object. The position is tabulated at one-second intervals. The \( x \) coordinate is indicated below each time. Figure 1 of 3 Which graph (Figure 1) best represents the function \( x(t) \), describing the object's position vs. time? 1 5 3 4 Which of the following graphs (Figure 2 ) best represents the function \( v(t) \), describing the object's velocity as a function of time? View Available Hint(s) Which of the following graphs (Figure 3) best represents the function \( a(t) \), describing the acceleration of this object? View Available Hint(s)

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Transcribed Image Text: Learning Goal: To graph position, velocity, and acceleration of an object given a table of positions vs. time. The table below shows the \( x \) coordinate of a moving object. The position is tabulated at one-second intervals. The \( x \) coordinate is indicated below each time. Figure 1 of 3 Which graph (Figure 1) best represents the function \( x(t) \), describing the object's position vs. time? 1 5 3 4 Which of the following graphs (Figure 2 ) best represents the function \( v(t) \), describing the object's velocity as a function of time? View Available Hint(s) Which of the following graphs (Figure 3) best represents the function \( a(t) \), describing the acceleration of this object? View Available Hint(s)
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Transcribed Image Text: Learning Goal: To graph position, velocity, and acceleration of an object given a table of positions vs. time. The table below shows the \( x \) coordinate of a moving object. The position is tabulated at one-second intervals. The \( x \) coordinate is indicated below each time. Figure 1 of 3 Which graph (Figure 1) best represents the function \( x(t) \), describing the object's position vs. time? 1 5 3 4 Which of the following graphs (Figure 2 ) best represents the function \( v(t) \), describing the object's velocity as a function of time? View Available Hint(s) Which of the following graphs (Figure 3) best represents the function \( a(t) \), describing the acceleration of this object? View Available Hint(s)
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Question 1 Correct answer  a. 1 Graph 1 represents the function well because it is a linear graph. The other graphs are not linear, which means they do not represent the function as well.  Incorrect answer  Graph 2 is not linear, which means it does not represent the function as well. Graph 3 is not linear, which means it does not represent the function as well. Graph 4 is not linear, which means it does not represent the function as well. Question 2 Correct answer is  b. 2 Assuming that the graph is meant to represent the velocity of an object over time, I would say that graph 2 represents the function the best. This is because the velocity of an object would typically be represented as a line on a graph, with the velocity increasing or decreasing over time. Graph 2 shows a line that is increasing over time, which represents the velocity of an object increasing over time.  Incorrect answer  Graphs a, c, and d would not typically be used to represent the velocity of an object over time. Graph a is a bar graph, which is typically used to represent data that is not continuous. For example, a bar graph could be used to represent the number of people in a room at different times of day.  Graph c is a scatter plot, which is typically used to represent ... See the full answer