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Is acceleration correlated with an instantaneous velocity? tia

- Thread starter gomer36
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Is acceleration correlated with an instantaneous velocity? tia

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yes, acceleration is the rate of change of velocity respect to time.

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thank youyes, acceleration is the rate of change of velocity respect to time.

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But to find the instantaneous acceleration we need to know the instanteneous velocity v(t) for every t inside (t1,t2) and not just only the two velocities v2 and v1 at the edges of the time interval t2 and t1. If we know v(t) then the instantaneous acceleration is [tex]a(t)=\frac{dv(t)}{dt}[/tex].

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So, at any instant, can the instantaneous velocity be defined, or is it changing? ()instantaneous acceleration determines how instantaneous velocity changes in an infinitesmall amount of time.

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Similarly for velocity, we need to know the instantaneous location for every t inside an interval. If you know a locationBut to find the instantaneous acceleration we need to know the instanteneous velocity v(t) for every t inside (t1,t2) and not just only the two velocities v2 and v1 at the edges of the time interval t2 and t1. If we know v(t) then the instantaneous acceleration is [tex]\frac{dv(t)}{dt}[/tex].

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