The person creating the graph can choose any suitable unit.
No. The slope of the distance-time graph is the change in distance per unit of time - otherwise known as speed. Acceleration is the slope of the speed time graph.
Equal to the acceleration of the object that is moving through distance in time. * * * * * No. The slope of the distance-time graph is the change in distance per unit of time - otherwise known as speed.
A straight line on a distance/time graph means that the speed is constant. In every unit of time the distance increases by the same amount.
the physical quantity is distance and unit is meters
an increasing distance is traveled during each unit of time
There's no such thing as "the unit" for a graph. Each axis has a unit, and you've stated both of them in your question: One axis is marked in units of (time)2, and the other is marked in units of (distance)2 . We fail to comprehend the physical significance or applicability of such a graph, but if it somehow suits your needs, then knock yourself out. We note that the slope of the graph works out to units of (speed)2 , so maybe it has something to do with kinetic energy perhaps ? ?
Not always. A proper speed-time graph will show the distance covered by a body in unit tme - which is how instantaneous speed is defined. The height of the graph at the point in time that is of interest, will give the distance covered in unit time - at that time. If the graph is not a straight line then the answer is given by the average value of the height of the graph over an interval going half-a-unit of time either side of the point of interest. However, speed-time graphs are often related to corresponding distance-time graphs. In such a case, the graph records the velocity of a body in the direction towards or away from the origin at various points in time. It takes no account whatsoever of any motion in a transverse direction. So the component of velocity in a transverse direction is lost. Thus, suppose O is the origin and I am at position P. If I move at right angles to OP, the speed-time graph will not show me moving at all.
distance time graph is a graph traveled in a graph which shows how much we have traveled in equal period of time.
If the slope of a line on a distance-time graph is 1, it means that the speed of the object being plotted is 1 unit of distance traveled per unit of time elapsed. So, if the units are in, for example, meters and seconds, the speed would be 1 meter per second.
It is 1 unit of distance per 1 unit of time.
A scale on a graph is what we use to measure the distance between the given coordinates. Here's an example: x=1 unit=1 cm y=1 unit=1 cm The units are the squares in the graph (represented on grids), which are, in the above example, 1 cm in length and width.
On a distance-time graph, a constant speed is represented by a straight, diagonal line with a constant slope. This slope indicates that the object is covering the same distance for each unit of time, meaning its speed is consistent throughout the motion.