It is a measure of the component of the velocity of the object in the direction towards or away from the reference point (the origin). It takes no account of the object's velocity in the transverse direction. It is, therefore, not a measure of the object's speed or velocity.
For example, the distance of an object going around in a circle about the origin is a constant. So the slope of the distance vs time graph will be 0. But the speed of the object is NOT 0 (nor is its velocity 0).
A distance time graph would show the distance traveled.
instantaneous velocity
It is a measure of speed of the object, but only in the radial direction: that is, towards or away from the point from which distance is measured. The object could be going around that point in circular motion and the graph would show absolutely nothing.
acceleration.
The answer will depend on whether the graph is a distance time graph or a speed time graph.The slope of a distance-time graph shows that speed of the object in the direction towards or away from the point of reference (usually the origin). It indicates absolutely nothing about its speed in any other direction. So, for example, an object could be rotating around the origin at the speed of light (the fastest possible) and the distance-time graph would show it being stationary bacause its distance from the origin is not changing!The slope of the speed-time graph indicated the acceleration of the object, again with the same qualification.
A distance time graph would show the distance traveled.
instantaneous velocity
To show motion of an object on a line graph, you can plot the position of the object on the y-axis against time on the x-axis. The slope of the line connecting the points on the graph represents the speed of the object. Steeper slopes indicate faster motion, while flatter slopes indicate slower motion.
Object will change distance time graph when speed is changing. Distance time graph don't changed indicate of the stationary.
It is a measure of speed of the object, but only in the radial direction: that is, towards or away from the point from which distance is measured. The object could be going around that point in circular motion and the graph would show absolutely nothing.
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.
acceleration.
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.
A negative acceleration position-time graph indicates that the object is slowing down or decelerating.