(3) The distance of a particle from a point O at time t seconds is given by s = 2t³ - 27t² + 108t - 84 metres for t≥ 0. (a) Find the velocity at time t. (b) Find the acceleration at time t. (c) Find the time(s) when the particle has a velocity of zero. (d) Give the displacement and acceleration when velocity is zero.

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
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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please answer part d

(3) The distance of a particle from a point O at time t seconds is given by
s = 2t³ - 27t² + 108t - 84 metres for t≥ 0.
(a) Find the velocity at time t.
(b) Find the acceleration at time t.
(c) Find the time(s) when the particle has a velocity of zero.
(d) Give the displacement and acceleration when velocity is zero.
Transcribed Image Text:(3) The distance of a particle from a point O at time t seconds is given by s = 2t³ - 27t² + 108t - 84 metres for t≥ 0. (a) Find the velocity at time t. (b) Find the acceleration at time t. (c) Find the time(s) when the particle has a velocity of zero. (d) Give the displacement and acceleration when velocity is zero.
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