acceleration.
A distance time graph would show the distance traveled.
instantaneous velocity
Time on horizontal, Distance on Vertical
the slope show the velocity of the object which show its direction and magnitude.
time, distance
A distance time graph would show the distance traveled.
For uniform motion, the distance-time graph is a straight line because the object covers equal distances in equal time intervals. For non-uniform motion, the distance-time graph is curved because the object covers unequal distances in equal time intervals or equal distances in unequal time intervals.
you can show motion by distance against time
the distance time graph will show a linear or a straight line
The distance-time graph for uniform motion of an object is a straight line with a constant slope. This indicates that the object is covering equal distances in equal time intervals, showing a constant speed.
If the motion of the object in in n-dimensional space, then an n+1 dimensional graph, in which one axis shows the time and the remaining n dimensions are the coordinates of the object at that point in time. The wrong answer is a distance-time graph, since that does not show any radial motion. An object going round in a circle around the origin is at a constant distance and so a distance-time graph would show no motion which is certainly not true.
instantaneous velocity
Yes.
If there is a flat line on a distance-time graph, it indicates that the object is not moving, as the distance remains constant over time. This means that there is no change in position, and the object is at rest.
object is at rest
The distance-time graph for non-uniform motion of an object will not be a straight line, as the object's speed is changing. It may have curved sections or varying slopes to represent the changing speed of the object at different points in time. The graph may be irregular or have multiple segments to illustrate the object's varying velocity.
The slope of the motion graph represents the object's speed. A steeper slope indicates a faster speed, while a shallower slope indicates a slower speed. Specifically, the slope is calculated as the change in distance divided by the change in time, which gives you the speed of the object at any given point on the graph.