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Suppose that the position of a particle is given by s(t) = 7t³ + 6t+ 9. (a) Find the velocity at time t. v(t) = (b) Find the velocity at time t = 3 seconds. m S a(t) = = m (c) Find the acceleration at time t. S m 8² (d) Find the acceleration at time t = 3 seconds. m 8²

Suppose that the position of a particle is given by s(t) = 7t³ + 6t+ 9. (a) Find the velocity at time t. v(t) = (b) Find the velocity at time t = 3 seconds. m S a(t) = = m (c) Find the acceleration at time t. S m 8² (d) Find the acceleration at time t = 3 seconds. m 8²

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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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Suppose that the position of a particle is given by s(t) = 7t³ + 6t +9. (a) Find the velocity at time t. v(t) = m (b) Find the velocity at time t = S m S m 8² (c) Find the acceleration at time t. a(t) = 3 seconds. m 8² (d) Find the acceleration at time t = 3 seconds.
Transcribed Image Text:Suppose that the position of a particle is given by s(t) = 7t³ + 6t +9. (a) Find the velocity at time t. v(t) = m (b) Find the velocity at time t = S m S m 8² (c) Find the acceleration at time t. a(t) = 3 seconds. m 8² (d) Find the acceleration at time t = 3 seconds.
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