The position versus time tells us that the object is moving to the right and speeding up since the slope is positive and increasing with time.
It is convenient to define that origin at initial time, so in this case the position is zero at \(t=0\).
So we need to define the origin in order to determine where the position crosses the y-axis. As for the velocity plot, there are infinite ways to have the have shape, since the plot can be moved vertically up or down while retaining its slope. Thus, the position versus time plot in Figure 8.1.1 has a parabolic shape. In this case since velocity is linear and increasing, this means that the slope of position plot increases with time, and it does so in a quadratic manner. States that the slope of position plot is the velocity plot.
