A particle moves along a horizontal line. Its position on the line in t seconds is given by s(t) = -t(t²- 24t+ 180). Here, a zero position represents the origin, a negative position is to the left of the origin, and a positive position is to the right of the origin. If v(t) and a(t) are the velocity and acceleration, respectively, of the particle at t seconds, then their signs are given in the table below: t v(t) a(t) (0,6) 6 0 + + (6,8) 8 (8,10) 10 (10, +00) + + 0 + + 0 - - 1. Where is the particle located when it attains its absolute maximum velocity?

A particle moves along a horizontal line. Its position on the line in t seconds is given by s(t) = -t(t²- 24t+ 180). Here, a zero position represents the origin, a negative position is to the left of the origin, and a positive position is to the right of the origin. If v(t) and a(t) are the velocity and acceleration, respectively, of the particle at t seconds, then their signs are given in the table below: t v(t) a(t) (0,6) 6 0 + + (6,8) 8 (8,10) 10 (10, +00) + + 0 + + 0 - - 1. Where is the particle located when it attains its absolute maximum velocity?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.7: More On Inequalities

Problem 44E

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