Answer:
It would be a straight line
Explanation:
On a distance-time graph, an object that moves at constant speed would be represented by a straight line.
In fact, in a distance-time graph, the slope of the line corresponds to the speed of the object. We can demonstrate that. In fact:
- The speed of the object is equal to the ratio between the distance covered [tex](\Delta s)[/tex] and the time taken ([tex]\Delta t[/tex]):
[tex]v=\frac{\Delta s}{\Delta t}[/tex]
On a distance-time graph, the distance is on the y-axis while the time is on the x-axis. The slope of the line is defined as:
[tex]m=\frac{\Delta y}{\Delta x}[/tex]
But the variation on the y-axis ([tex]\Delta y[/tex]) is equal to the distance covered ([tex]\Delta s[/tex]), while the variation on the x-axis [tex](\Delta x)[/tex] corresponds to the time taken ([tex]\Delta t[/tex]), so the slope can also be rewritten as
[tex]m=\frac{\Delta s}{\Delta t}[/tex]
which is equal to the speed of the object. Therefore, an object moving at constant speed would be represented by a line with constant slope, which means a straight line.
