(a) Suppose the position for a certain object is constant. Determine the \(x\) component of its velocity by using Eq. 2.22 and by evaluating the limit in Eq. 2.21 of the ratio of the \(x\) component of the displacement over a finite time interval.

(b) Repeat for the case where the \(x\) coordinate of the position changes with time according to the expression \(x=c t\), where \(c\) is a constant. Explain your answer.

dx (2.22) dt