x and y
I would set up a table of values and calculate several of the values of the variables (I would try to calculate the "interesting" values setting one to zero and calculating the other(s), guessing at a maximum or minimum value etc. Then I would plot the values on graph paper.
BecAuse that would mean it is going an infinite speed. The slope of a distance time graph is the objects velocity or speed. If there is a line parallel to the distance axis, there is a vertical line. The slope of a vertical line is infinite. It is not possible to go an infinite speed.
constant speed
A graph would not be useful to illustrate the times between eclipses, or the comparative shapes of airfoils. Graphs only illustrate numerical information in comparison with other similar values.
The straight horizontal line on the graph says: "Whatever time you look at, the speed is always the same". This is the graph of an object moving with constant speed.
If speed changes, then the speed/time graph has up/down curves in it.
If a body is moving with variable speed, then the only thing you can say aboutits speed/time graph is that the graph is not a straight, horizontal line.
-- If the graph displays speed against time, then speed of zero is indicated wherever the graph-line touches the x-axis. -- If the graph displays distance against time, then speed of zero is indicated wherever the graph-line is horizontal. -- If the graph displays acceleration (magnitude) against time, then the graph can tell you when speed is increasing or decreasing, but it doesn't show what the actual speed is.
I would set up a table of values and calculate several of the values of the variables (I would try to calculate the "interesting" values setting one to zero and calculating the other(s), guessing at a maximum or minimum value etc. Then I would plot the values on graph paper.
On a graph of velocity and time, a constant speed would appear as a straight horizontal line.
That would be true, in the case of a graph of speed vs time.
For a general cosine graph, they would be the maximum and minimum values, and the values of the independent variable at which these are attained.Note that the graph of y = cos(x)+2 is never equal to zero, so there may not be any roots.
BecAuse that would mean it is going an infinite speed. The slope of a distance time graph is the objects velocity or speed. If there is a line parallel to the distance axis, there is a vertical line. The slope of a vertical line is infinite. It is not possible to go an infinite speed.
A horizontal line on a velocity-time (V-T) graph would show constant speed. This is because the slope of a V-T graph represents acceleration, and a horizontal line means zero acceleration, indicating constant speed.
constant speed
Speed = distance / time A line graph with distance on the vertical axis and time on the horizontal axis could be used to determine speed. The speed would equal the slope of the line. Alternatively, a line graph with distance/time on the vertical axis and time on the horizontal axis would show speed. The acceleration would equal the slope of the line.
A graph would not be useful to illustrate the times between eclipses, or the comparative shapes of airfoils. Graphs only illustrate numerical information in comparison with other similar values.