The vertical distance of a heavy projectile. Heavy so that air resistance can be ignored.
If a position versus time graph is parabolic, then:Speed versus time is a straight line.Acceleration (magnitude) vs time is a horizontal line, so the acceleration is constant.The graph of height/time for a stone or a baseballtossed upward is an inverted parabola.
The position versus time graph is parabolic.
There are many things the graph does not show. It does not show my shoe size, for example.
speed
speed
For a concave mirror, the graph of image distance vs. object distance is typically parabolic. As the object distance increases, the image distance initially decreases and then increases. For a convex lens, the graph is also parabolic with similar characteristics, as the image distance changes with respect to the object distance following a curved path.
it is a positive relationship
if the speed is zero then the distance versus time line will be horizontal
Look at Einstein's theory on gravity. It is shown on a parabolic graft.
A horizontal line on a distance versus time graph indicates that the object is not moving. The slope of the line would be zero, meaning there is no change in distance over time.
a vertical one
Indirectly, yes. If the graph is a straight line there is no acceleration, if the graph is not linear there is acceleration.