Let s(t) be the distance of a truck to an intersection. At time t = 0, the truck is 60 m from the intersection, travels away from it with a velocity of 24 m/s, and begins to slow down with an acceleration of a = −3 m/s2. Determine the second Maclaurin polynomial of s, and use it to estimate the truck’s distance from the intersection after 4 s.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter5: Polynomial And Rational Functions
Section5.3: Graphs Of Polynomial Functions
Problem 28SE: For the following exercises, use the Intermediate Value Theorem to confirm that the given polynomial...
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Let s(t) be the distance of a truck to an intersection. At time t = 0, the truck is 60 m from the intersection, travels
away from it with a velocity of 24 m/s, and begins to slow down with an acceleration of a = −3 m/s2. Determine the
second Maclaurin polynomial of s, and use it to estimate the truck’s distance from the intersection after 4 s.

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