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When the velocity is constant, can average velocity over any time interval differ from instantaneous velocity at any instant ? If so, give an example, if not, explain why? |
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Answer» No, by definition of velocity and average velocity we have `vec(v)=` slope of tangent to `vec(s)//t` curve at a given instant of time and `vec(v)_(av) =` slope of chord of `vec(s)//t` curve for a given interval of time. Now for constant velocity, the slope of `vec(s)//t` curve will be constant and so it will a straight line making a const, angle with time axis. Now as in case of straight line, Slope of tangent = Slope of chord, i.e., `vec(v) = vec(v)_(av)` i.e., if velocity is contant average velocity over any interval of time is always equal to velocity at any instant of time. |
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