Yes―sort of. If displacement increases or decreases suddenly in an infinitely small point in time or a time interval that is too small to graph, a vertical line is used.
infinite speed
That the body, whose motion is being plotted is not moving radially. It can be moving along a circle with the origin as the centre at any speed but that does not show up in a displacement-time graph.
No: not until instantaneous teleportation is discovered.
Object will change distance time graph when speed is changing. Distance time graph don't changed indicate of the stationary.
it will never be a vertical line as the slope is velocity and that would be infinite speed
Because - for there to be a vertical line - time would have to stand still !
A displacement time graph is a graph that consists of an x and y axis using displacement, by time.
They are the axes. Usually horizontal = x-axis, vertical = y-axis. But that need not always apply. In a displacement-time or speed-time graph, for example, the horizontal axis = t-axis (for time).
A displacement vs. time graph of a body moving with uniform (constant) velocity will always be a line of which the slope will be the value of velocity. This is true because velocity is the derivative (or slope at any time t) of the displacement graph, and if the slope is always constant, then the displacement will change at a constant rate.
A vertical line on a velocity vs time graph is physically impossible.
you can do vertical graphs or data's it can be both ways
infinite speed
Typically distance is plotted on the y-axis of a distance-time graph.
a vertical one
The nature of displacement-time graph is parabolic if the acceleration is constant(uniform). When acceleration is constant, displacement is directly proportional to the square of time which results into a parabolic structure of graph.
A graph that shows displacement plotted against time for a particle moving in a straight line. Let x(t) be the displacement of the particle at time t. The distance-time graph is the graph y=x(t), where the t-axis is horizontal and the y-axis is vertical with the positive direction upwards. The gradient at any point is equal to the velocity of the particle at that time. (Here a common convention has been followed, in which the unit vector i in the positive direction along the line has been suppressed. The displacement of the particle is in fact a vector quantity equal to x(t)i, and the velocity of the particle is a vector quantity equal to x(t)i.)
If a graph shows distance on the vertical axis and time on the horizontal axis, and the speed is steadily increasing, the line representing speed will be a straight line.