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What does the first derivative of (2-norm) distance with respect to time tell us?
My basic physics' knowledge is a little rusty. My apologies in advance. I know that the first derivative of position or displacement with respect to time is the instantaneous velocity. Suppose I have ...
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Does differentiating a distance with respect to time give velocity?
I'm just wondering if you have a distance function:
$$
s(t) = 0.1t^2 - 5t
$$
where $s(t)$ is distance and $t$ is time in seconds, does differentiating it give you a function for velocity?