Time independent acceleration equation?

[re444]

Hi,

Is this differential equation valid for time independent acceleration"

a = dV/dt = dV/ (V dx) = ( dV / dx ) * (1/V) ?

 

[Doc Al]

d = dV/dt = dV/ (V dx) = ( dV / dx ) * (1/V) ?

It's not quite clear what you're doing here. dV/dt has units of acceleration, while dV/(V dx) has units of 1/length. So your equation isn't valid.

Perhaps you're thinking of dV/dx = (1/V)dV/dt ?

 

[re444]

It's not quite clear what you're doing here. dV/dt has units of acceleration, while dV/(V dx) has units of 1/length. So your equation isn't valid.

Perhaps you're thinking of dV/dx = (1/V)dV/dt ?

Oh ! my obvious fault: a = dV / dt = dV/ (dx / V) = V dV/dx .

thanks