Next, we must find the total distance traveled by the particle in the given time interval. This is different than displacement, which only measures the difference between the beginning and end points. There may be positive distance and negative distance traveled that cancel each other out in the net change. Recall that when v(t) s 0, the particle moves to the left, and when v(t) 2 0, the particle moves to the right. Therefore, to calculate the total distance traveled, we must integrate the absolute value of velocity, Iv(t)l. First, find the values of t such that v(t) s o. v(t) so 9t - 4 S0 Therefore, Iv(t)I = -v(t) when v(t) is negative, which within the given time interval is 0 sts Similarly, Iv(t)| = v(t) when v(t) is positive, which within the given time interval is ses 3.

Next, we must find the total distance traveled by the particle in the given time interval. This is different than displacement, which only measures the difference between the beginning and end points. There may be positive distance and negative distance traveled that cancel each other out in the net change. Recall that when v(t) s 0, the particle moves to the left, and when v(t) 2 0, the particle moves to the right. Therefore, to calculate the total distance traveled, we must integrate the absolute value of velocity, Iv(t)l. First, find the values of t such that v(t) s o. v(t) so 9t - 4 S0 Therefore, Iv(t)I = -v(t) when v(t) is negative, which within the given time interval is 0 sts Similarly, Iv(t)| = v(t) when v(t) is positive, which within the given time interval is ses 3.

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

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

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