A particle moves along the x-axis so that its velocity at time t is given by v(t)= (t^6-13t^4+12)/(10t^3+3).
A particle moves along the x-axis so that its velocity at time t is given by v(t)= (t^6-13t^4+12)/(10t^3+3).
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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A particle moves along the x-axis so that its velocity at time t is given by v(t)= (t^6-13t^4+12)/(10t^3+3). At time t=0, the initial position of the particle is x=7.
(a) Find the acceleration of the particle at time t = 5.1
(b) Find all values of t in the interval 0 ≤ t ≤ 2 for which the speed of the particle is 1
(c) Find the position of the particle at time t = 4. Is the particle moving toward the origin or away from the
origin at time t = 4 ? Justify your answer.
(d) During the time interval 0 < t ≤ 4, does the particle return to its initial position? Give a reason for your answer
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