Since the position as a function of time for the ball plotted in Figure \(\PageIndex{1}\) is linear, we can summarize our description of the motion using a function, \(x(t)\), instead of having to tab...Since the position as a function of time for the ball plotted in Figure \(\PageIndex{1}\) is linear, we can summarize our description of the motion using a function, \(x(t)\), instead of having to tabulate the values as we did in Table 3.1.1. The velocity, \(v_{x}\), is simply the difference in position, \(∆x\), between any two points divided by the amount of time, \(∆t\), that it took the object to move between those to points (“rise over run” for the graph of \(x(t)\)):
