Which of the following best describes the velocity-time graph for an object moving with uniform velocity?
A straight horizontal line parallel to the time axis
To understand the velocity-time graph for an object moving with uniform velocity, we need to examine the characteristics of uniform motion and how it is represented graphically.
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Uniform Velocity: An object is said to be moving with uniform velocity when it covers equal distances in equal intervals of time, regardless of how small these intervals may be. In other words, the velocity remains constant over time.
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Graphical Representation: The velocity-time graph is a graphical representation where time is plotted on the x-axis, and velocity is plotted on the y-axis.
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Characteristics of the Graph for Uniform Velocity: Since the velocity does not change with time, the graph will be a horizontal line. This line signifies that the velocity remains constant, i.e., the slope of the line is zero, indicating no change in velocity over time.
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Conclusion: Among the given options, "A straight horizontal line parallel to the time axis" best describes the velocity-time graph for an object moving with uniform velocity. This is because this option represents a constant velocity over time without any acceleration or deceleration.
Thus, the correct answer is: A straight horizontal line parallel to the time axis. Other options do not satisfy the condition of uniform velocity:
- A line starting from the origin and sloping upwards: This represents uniform acceleration, not uniform velocity.
- A straight line sloping upwards from the time axis: This again indicates acceleration, showing an increase in velocity over time.
- A curved line above the time axis: This represents non-uniform acceleration, where the rate of change of velocity is changing.
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