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  3. the difficulty in finding the velocity after 3 sec

The difficulty in finding the velocity after 3 seconds is that we are dealing with...

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Calculus

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The difficulty in finding the velocity after 3 seconds is that we are dealing with a single instant of time t 3 so no time interval is involved However we can approximate the desired quantity by computing the average velocity over the brief time interval of a tenth of a second from t 3 to t 3 1 average velocity Time interval 3 t 4 3 t 3 1 The following table shows the results of similar calculations of the average velocity over successively smaller time periods 3 st 3 05 3 t 3 01 change in position time elapsed 3 t 3 001 s 3 1 s 3 0 1 9 4 9 0 1 Average velocity m s 34 3 29 89 29 645 m s 29 449 29 4049 m s rounded to one decimal place The instantaneous velocity when t 3 is defined to be It appears that as we shorten the time period the average velocity is becoming closer to limiting value of these average velocities over shorter and shorter time periods that start at t 3 Thus the instantaneous velocity after 3 s is the following Round your answer to one decimal

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