I Writing Velocity as dx/dt in K= ∫mvdv = ∫m dx/dt dv - Does it Make Sense?

[STAR GIRL]

In equation K= ∫mvdv = ∫m dx/dt dv, how can we write v at any time t as dx/dt?? Does it make any sense??

 

[fresh_42]

In equation K= ∫mvdv = ∫m dx/dt dv, how can we write v at any time t as dx/dt?? Does it make any sense??

This is how velocity is defined. How do you define velocity?

 

[STAR GIRL]

This is how velocity is defined. How do you define velocity?

I just want to know that how can we write v as dx/dt

 

[Ibix]

Well, velocity is the rate of change of position (x) with respect to time (t). So v=dx/dt by definition.

 

[STAR GIRL]

Well, velocity is the rate of change of position (x) with respect to time (t). So v=dx/dt by definition.

Yup I got it. Thanks