Question

On acceleration time graph, a horizontal line indicates:

Answer 1

Hint:The same way as velocity vs time graphs tell us about an object's displacement, acceleration vs time graphs inform us about its velocity. The area under the graph for a specific time interval is equal to the change in velocity during the same time interval.

Complete step by step answer:
The acceleration vs. time graph will show a straight horizontal line at \[y = 0.\] Because acceleration is the derivative of velocity, the slope of the curves on a velocity vs. time graph can be used to predict what an acceleration vs. time graph for an object's motion would look like (much as the slopes of the curves on a position vs. time graph can be used to predict what a \[v\] vs \[t\] graph will look like, because velocity is the first derivative of position).

The independent variable on a graph of velocity vs time is time, which is depicted on the x-axis. On the y-axis, velocity is plotted, and the graph depicts how velocity varies over time.A horizontal line on the graph depicts a velocity that is constant through time (e.g., no acceleration). It would apply to an object moving at a constant speed in a vacuum with no external forces acting on it.

If the \[v\] vs $t$ graph's lines are straight and horizontal, indicating that the item is moving at a constant velocity, the slopes of those lines are $0$ , and the $a$ vs \[t\] graph should show a straight, horizontal line at \[y = 0\] (along the z-axis).

Note: If your acceleration is positive at one point, your velocity will increase at that point. If you have a negative acceleration, your velocity will decrease. Finally, if your acceleration is zero, your velocity will remain constant and will not change.