Typically the independent variable is plotted on the horizontal (x) axis. Usually time is an independent variable, and the other variables are dependent on time and other factors.
In general, yes, plots involving time would show time as the x-axis.
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not always but %99.9 of the time yes
True
The result always ends in a zero
In such graphs the x-axis is usually (but not always) the time axis. The x-intercept represents the time(s) at which your position is at the starting point - either for the first time or later.
Not always, but most of the time.