The x-axis is the horizontal reference line in a coordinate system that represents the independent variable or quantity being measured. It is typically used to depict values or changes along the horizontal dimension.
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The x-axis is the horizontal axis in a two-dimensional coordinate system, and it represents the independent variable.
In a velocity-time graph, the x-axis represents the time variable, while the y-axis represents the velocity.
When adding or subtracting vectors graphically, the x-axis is used to represent the horizontal components of the vectors.
The x-axis is also used in analytical methods for vector addition and subtraction, where the horizontal components are calculated.
The position of a point on the x-axis indicates the value of the independent variable at that location.
Review Questions
Explain the role of the x-axis in a velocity-time graph.
In a velocity-time graph, the x-axis represents the time variable, which is the independent variable. The position along the x-axis indicates the time at which the velocity is being measured or observed. The graph shows how the velocity of an object changes over time, with the x-axis providing the temporal context for the velocity values plotted on the y-axis.
Describe how the x-axis is used in the graphical method of vector addition and subtraction.
When adding or subtracting vectors graphically, the x-axis is used to represent the horizontal components of the vectors. The horizontal components are plotted along the x-axis, while the vertical components are plotted along the y-axis. The resulting vector is then constructed by connecting the starting point to the endpoint of the vector addition or subtraction, and the x-coordinate of the endpoint represents the final horizontal component of the resultant vector.
Analyze the role of the x-axis in the analytical method of vector addition and subtraction.
In the analytical method of vector addition and subtraction, the x-axis is used to represent the horizontal components of the vectors. The horizontal components are calculated and manipulated algebraically to determine the final magnitude and direction of the resultant vector. The x-axis provides the framework for organizing and interpreting the vector components, allowing for a systematic and quantitative approach to vector operations that is essential for solving complex physics problems involving vector quantities.