on a speed versus time graph, what indicates that there is no change in position as time increases
On a speed versus time graph, a horizontal line indicates that there is no change in position as time increases. This is because the speed remains constant and does not increase or decrease over time.
Nonsense, at constant speed u in x direction starting at x and t = 0
x = u t
at constant 10 miles per hour you go 10 miles in an hour.
To not change position your speed must be zero. (or ten right for an hour and ten left for an hour)
You are correct, my previous response was incorrect. I apologize for the confusion.
On a speed versus time graph, a horizontal line at zero speed indicates that there is no change in position as time increases. This means that the object is not moving and remains in the same position over time.