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a=dv/dt

Then you can write it as

dv=a*dt

And take the integral on both sides

integral(dv)=integral(a*dt)

My question is:What does dv=a*dt mean?? How do I interprete it? What does the individual term dt mean? And what does dv for it self mean?

To me it seems like “dv” means, differentiate t with respect to NOTHING. And dv means “Differentiate time with respect to nothing”

Can someone help me understand why this trick works and perhaps how to interprete it?

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# Why can you write a= dv/dt as a*dt = dv? and what does it mean?

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