Answer:
The slope of the line is zero
The object is at rest
Explanation:
The graph position vs time of an object represents the position of the object measured at different times.
The slope of this graph is given by:
[tex]m=\frac{\Delta y}{\Delta x}[/tex]
where
[tex]\Delta y[/tex] is the increment in the y-variable
[tex]\Delta t[/tex] is the increment in the x-variable
However, we have that:
[tex]\Delta y[/tex] corresponds to [tex]\Delta r[/tex], the change in position of the object
[tex]\Delta x[/tex] corresponds to the change in time, [tex]\Delta t[/tex]
Therefore, for a position-time graph the slope of the graph corresponds to the velocity of the object:
[tex]m=\frac{\Delta r}{\Delta t}=v[/tex]
An object having a flat line on a position-time graph has a line with slope zero: therefore, its velocity is zero, and this means the object is at rest.
