Question
indicates a constant velocity of the object being represented.
Answers
GPT-4o mini
A constant velocity indicates that an object is moving at a steady speed in a straight line without any change in direction. In graphical representations, such as a position-time graph, constant velocity is shown by a straight line with a consistent slope, where the slope represents the speed of the object. In mathematical terms, if \( v \) is constant, the relationship can be expressed as:
\[
v = \frac{\Delta x}{\Delta t}
\]
where \( \Delta x \) is the change in position and \( \Delta t \) is the change in time. This indicates that the object covers equal distances in equal intervals of time. In a velocity-time graph, constant velocity is represented by a horizontal line, indicating that the velocity remains unchanged over time.
\[
v = \frac{\Delta x}{\Delta t}
\]
where \( \Delta x \) is the change in position and \( \Delta t \) is the change in time. This indicates that the object covers equal distances in equal intervals of time. In a velocity-time graph, constant velocity is represented by a horizontal line, indicating that the velocity remains unchanged over time.