It shows the speed of an object in a direction towards or away from the reference point. This is not the speed of the object because any motion in a transverse direction is ignored. For example, even if a racing car is going at top speed around the reference point on a circular track, the distance v time graph will be a horizontal line. The slope will be zero.
the slope show the velocity of the object which show its direction and magnitude.
The slope of the line would decrease.
There are many things the graph does not show. It does not show my shoe size, for example.
if the speed is zero then the distance versus time line will be horizontal
a vertical one
the slope show the velocity of the object which show its direction and magnitude.
The slope of the line would decrease.
Steep slope on a distance/time graph indicates high speed.
There are many things the graph does not show. It does not show my shoe size, for example.
if the speed is zero then the distance versus time line will be horizontal
a vertical one
acceleration.
If it is distance from a point versus time, with distance on the vertical axis and time on the horizontal axis, it would show a steep vertical climb on the graph. The steeper vertical change, the faster, but never completely vertical. Large "rise" (distance) over short "run" (time). With 0 acceleration, the graph is a straight line.
It is false
Yes it is.
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.
The velocity. To convince yourself, consider the units of the slope. Slope = rise/run = vertical/horizontal= distance/time=units of velocity. Alternately, consider the meaning of the graph. Where the slope is high, the distance is changing fast over a small time - high velocity.