The derivative of position with respect to time VS the derivative of time with res...by Femme_physics Tags: derivative, time, velocity 

#1
Oct510, 10:12 PM

PF Gold
P: 2,551

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

Mentor
P: 21,018

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




#4
Oct610, 09:06 AM

Mentor
P: 21,018

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

P: 810





#7
Oct810, 02:08 AM

Sci Advisor
HW Helper
PF Gold
P: 12,016

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



Register to reply 
Related Discussions  
Time derivative  General Physics  4  
Time derivative with three variables  Calculus & Beyond Homework  2  
derivative of a derivative with respect to something else  Calculus & Beyond Homework  6  
having a hard time with a derivative  Calculus  6  
derivative with respect to time ??  Introductory Physics Homework  3 