The position of a hummingbird flying along a straight line in t seconds is given by S(t) = 4t³ – 28t meters. (a) Determine the velocity of the bird at t = 6 sec. (b) Determine the acceleration of the bird at t = 6 sec. (c) Determine the acceleration of the bird when the velocity equals 0.

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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The position of a hummingbird flying along a straight line in t seconds is given by S(t) = 4t³ – 28t meters.
(a) Determine the velocity of the bird at t = 6 sec.
(b) Determine the acceleration of the bird at t = 6 sec.
(c) Determine the acceleration of the bird when the velocity equals 0.
Transcribed Image Text:The position of a hummingbird flying along a straight line in t seconds is given by S(t) = 4t³ – 28t meters. (a) Determine the velocity of the bird at t = 6 sec. (b) Determine the acceleration of the bird at t = 6 sec. (c) Determine the acceleration of the bird when the velocity equals 0.
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