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The derivative of position with respect to time VS the derivative of time with res... 
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#1
Oct510, 10:12 PM

PF Gold
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I know that the derivative of position with respect to time is instantaneous velocity. What is the derivative of time with respect to position then? Is it even meaningful?



#2
Oct610, 12:32 AM

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It would be the reciprocal of the velocity, in units of time over distance.



#4
Oct610, 09:06 AM

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The derivative of position with respect to time VS the derivative of time with res...
I can't say that I recall any, but if you know time t as a function of displacement x, then it would be natural to talk about the rate of change of t with respect to x; that is, dt/dx.



#5
Oct610, 12:02 PM

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#7
Oct810, 02:08 AM

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Well, the reciprocal of the velocity tells you the the time required to traverse the unit distance.



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