you can show motion by distance against time
A distance time graph would show the distance traveled.
-- The distance/time graph for an object in uniform motion is a straight line,which may be sloped.-- The distance/time graph for an object in non-uniform motion may be a linethat isn't straight. But even if the graph is a straight line, that's not enoughto guarantee that the object's motion is uniform ... the distance/time graphreveals the object's speed, but not the direction of its motion.
the distance time graph will show a linear or a straight line
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.
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.
acceleration.
Yes.
instantaneous velocity
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.