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c. As you have already read, the instantaneous velocity is defined using the limit of the average velocity as the time interval becomes infinitesimally
c. As you have already read, the instantaneous velocity is defined using the limit of the average velocity as the time interval becomes infinitesimally small but not zero (i.e. v = limt-0 A). To At attempt to wrap our heads around this expression consider the following cases. i. For an object at rest Ax 0. In your own words explain what this implies for the instantaneous velocity of the object. ii. For a fast moving object would you expect Ax, the displacement, to be large Ax > 1 or small 1 > Ax > 0? Knowing that the limit is requiring At to approach zero (e.g. At is a tiny number), what does this mean for the ratio A Ax At when the object is fast moving? Is it large > 1 or small 1 > 0? Explain your conclusions. At
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