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Does dx/dt = dv or just v(avg.)?

Thanks

Thanks

- Thread starter quasi426
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- 208

- 0

Does dx/dt = dv or just v(avg.)?

Thanks

Thanks

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[tex]v(t)=:\frac{dx(t)}{dt} [/tex]

We call it instant velocity,as we can use the definition of the derivative.We compute the "x" comp.of the velocity at the moment of time [itex]t_{0} [/itex] by

[tex] v(t_{0})=:\lim_{t\rightarrow t_{0}} \frac{x(t)-x(t_{0})}{t-t_{0}} [/tex]

or simply by plugging the time value in the velocity function itself.

Daniel.

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