Let s(t)=2t^3- 21t^2 +72t in meters be the position of a particle moving on the coordinate line after t seconds on the interval [0, 6]. a. Find the instantaneous velocity at t = 2 seconds. b. Find the acceleration at t = 5 seconds. c.When is the particle moving in a positive direction?
Let s(t)=2t^3- 21t^2 +72t in meters be the position of a particle moving on the coordinate line after t seconds on the interval [0, 6]. a. Find the instantaneous velocity at t = 2 seconds. b. Find the acceleration at t = 5 seconds. c.When is the particle moving in a positive direction?
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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Let s(t)=2t^3- 21t^2 +72t in meters be the position of a particle moving on the coordinate line after t seconds on the interval [0, 6].
a. Find the instantaneous velocity at t = 2 seconds.
b. Find the acceleration at t = 5 seconds.
c.When is the particle moving in a positive direction?
d. When is the particle moving in a negative direction?
e. When is the particle at rest?
Does s(0)-s(0) represent the total distance traveled from t = 0 to t = 6 seconds? Why or Why not?
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