- #1

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Say that we have the equation

$$x = x_{0} + v_{0}t + \frac{1}{2}at^{2}$$

Obviously, x is a variable quantity representing all possible displacement values that are dependent on the value t. But, what happens when we do

$$x(t) = x_{0} + v_{0}t + \frac{1}{2}at^{2}$$

Does x then become a function rather than a variable? Typically, in function notation, we denote f as the function and f(x) as the variable output that depends on x.

So in the case of the above equation, how do we reconcile that x constantly changes from a variable quantity to the name of a function?