The following table shows the results of similar calculations of the average velocity over successively smaller time periods. Average velocity (m/s) Time interval V = 4≤t≤5 4 ≤t≤ 4.1 4 ≤ t ≤ 4.05 4 ≤t≤ 4.01 4 ≤t≤ 4.001 44.1 39.69 39.445 39.249 39.2049 It appears that as we shorten the time period, the average velocity is becoming closer to X m/s (rounded to one decimal place). The instantaneous velocity when t = 4 is defined to be the limiting value of these average velocities over shorter and shorter time periods that start at t = 4. Thus the (instantaneous) velocity after 4 s is the following. (Round your answer to one decimal place.) X m/s
The following table shows the results of similar calculations of the average velocity over successively smaller time periods. Average velocity (m/s) Time interval V = 4≤t≤5 4 ≤t≤ 4.1 4 ≤ t ≤ 4.05 4 ≤t≤ 4.01 4 ≤t≤ 4.001 44.1 39.69 39.445 39.249 39.2049 It appears that as we shorten the time period, the average velocity is becoming closer to X m/s (rounded to one decimal place). The instantaneous velocity when t = 4 is defined to be the limiting value of these average velocities over shorter and shorter time periods that start at t = 4. Thus the (instantaneous) velocity after 4 s is the following. (Round your answer to one decimal place.) X m/s
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 2TU: Use the table of values you made in part 4 of the example to find the limiting value of the average...
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