Suppose two people, X and Y, have two different stopwatches. X starts his/her stopwatch as some particle passes an origin. We can model the velocity of the particle by ##\vec{v}(T)##, where ##T## is the reading on the first stopwatch. After an amount of time ##\Delta t##, Y starts his/her stopwatch (##T = t + \Delta t##). Is it correct to model the velocity of the particle as ##\vec{v}(t)## where ##t## is the reading on the second stopwatch? Or should we change the letter used to represent the function [to ##\vec{u}(t)## for example]?(adsbygoogle = window.adsbygoogle || []).push({});

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# Function notation and shifting functions

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