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Using the definition of acceleration as change of speed / time, you basically need to know: * A time interval during which the object accelerates. * The velocity at the beginning of this time interval. * The velocity at the end of this time interval.
It requires that f(a)=f(b) where a and b are beginning and ending points. Also, it says there is a c between a and such that f'(c)=0. If f were not differentiable on the open interval, the statement f'(c)=0 would be invalid.
Open interval does not include its end points while closed interval includes
An interval is the spacing of time. For example: I ran for an interval of 10 minutes then walked for an interval of 30 minutes. Or each car has an interval of 0.5 seconds.
There is no interval in a single number.