Question

when does the average velocity over an interval of time become equal to instantaneous velocity?

Answer 1

ahoy!!
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=> when the average velocity of the object is measured in a small time interval the instantaneous velocity approximately becomes equal to it.

=> we know that average velocity = (x + Δx) - x  ÷ (y + Δy) - y

[tex] v_{av} = \frac{delta(x)}{delta(t)} [/tex]

when we take the limit where Δt ---> 0

v = Lt ( $\frac{delta(x)}{delta(t)}$ )
                                                                         --------- (1)
(Δt--->0)


equation (1) can be written as:

v = dx/dt    

when time interval is small:

instantaneous velocity is approximately equal to average velocity.

v(instantaneous) is approximately equal to Δx/Δt

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good life....