The function s(t) = (t^2+t)^-2/3, t >= 0 represents the displacement, s, in metres, of a particle moving along a straight line after t seconds. a. Determine v(t) and a(t). b. Find the average velocity during the first 5 s. c. Determine the velocity at exactly 5 s.
The function s(t) = (t^2+t)^-2/3, t >= 0 represents the displacement, s, in metres, of a particle moving along a straight line after t seconds. a. Determine v(t) and a(t). b. Find the average velocity during the first 5 s. c. Determine the velocity at exactly 5 s.
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 function s(t) = (t^2+t)^-2/3, t >= 0 represents the displacement, s, in metres, of a particle moving along a straight line after t seconds.
a. Determine v(t) and a(t).
b. Find the average velocity during the first 5 s.
c. Determine the velocity at exactly 5 s.
d. Find the average acceleration during the first 5 s.
e. Determine the acceleration at exactly 5 s.
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