The derivative of position with respect to time VS the derivative of time with res...


by Femme_physics
Tags: derivative, time, velocity
Femme_physics
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#1
Oct5-10, 10:12 PM
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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?
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Mark44
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Oct6-10, 12:32 AM
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It would be the reciprocal of the velocity, in units of time over distance.
Femme_physics
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Oct6-10, 12:51 AM
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Is there any use to that? I never saw it in exercises.

Mark44
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Oct6-10, 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.
Tac-Tics
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Oct6-10, 12:02 PM
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Quote Quote by Dory View Post
Is there any use to that? I never saw it in exercises.
There's a lot more math in the world than there are uses for things.
Femme_physics
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Oct7-10, 10:24 PM
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Good answers
arildno
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#7
Oct8-10, 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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