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Is acceleration correlated with an instantaneous velocity? tia
thank youyes, acceleration is the rate of change of velocity respect to time.
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.
Similarly for velocity, we need to know the instantaneous location for every t inside an interval. If you know a location without also knowing what its location is at +Δt and -Δt then you cannot determine its velocity, but if you require a small interval of time to work out how it is moving, then it is no longer 'instantaneous'?!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]\frac{dv(t)}{dt}[/tex].