- #1
Crystal037
- 167
- 7
- Homework Statement
- Prove a=vdv/ds
- Relevant Equations
- V=dx/dt
a=dv/dt
We know that v=v(x, t) i.e. V is a function of time as well as space coordinate here I have only taken 1D motion for simplicity. By chain rule a=dv/dt= Dv/Dx*dx/dt +Dv/Dt*dt/dt where D /Dx represent partial differentiation along x coordinate.
So, a=Dv/Dx*dx/dt +Dv/Dt
Here we say that Dv/Dt=0 since we have taken displacement as constant
So a=Dv/Dx*dx/dt = Dv/Dx*v
But I am not getting what is v since velocity is constantly changing. How can we have a constant v
So, a=Dv/Dx*dx/dt +Dv/Dt
Here we say that Dv/Dt=0 since we have taken displacement as constant
So a=Dv/Dx*dx/dt = Dv/Dx*v
But I am not getting what is v since velocity is constantly changing. How can we have a constant v
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