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1. According to the law of motion, the move of a particle is explained by s = f(t) where s represents the position of the particle and t represents the time. Consider the following equation f(t) = t^3 − 12t^2 + 36t where t is measured in seconds and s is measured in feet. a. When is the particle at rest? b. Find the displacement of the particle during the time period, 1 ≤ ? ≤ 4. Give an interpretation to the answer obtained. c. Find the total distance travelled during the first 8 seconds.

1. According to the law of motion, the move of a particle is explained by s = f(t) where s represents the position of the particle and t represents the time. Consider the following equation f(t) = t^3 − 12t^2 + 36t where t is measured in seconds and s is measured in feet. a. When is the particle at rest? b. Find the displacement of the particle during the time period, 1 ≤ ? ≤ 4. Give an interpretation to the answer obtained. c. Find the total distance travelled during the first 8 seconds.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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1. According to the law of motion, the move of a particle is explained by s = f(t) where s represents the position of the particle and t represents the time. Consider the following equation f(t) = t^3 − 12t^2 + 36t where t is measured in seconds and s is measured in feet.
a. When is the particle at rest?

b. Find the displacement of the particle during the time period, 1 ≤ ? ≤ 4. Give an interpretation to the answer obtained.

c. Find the total distance travelled during the first 8 seconds.

1. According to the law of motion, the move of a particle is explained by s = f(t) where s represents the position of the particle and t represents the time. Consider the following equation f(t) = t³ – 12t2 + 36t where t is measured in seconds and s is measured in feet. a. When is the particle at rest? b. Find the displacement of the particle during the time period, 1<t<4. Give an interpretation to the answer obtained. C. Find the total distance travelled during the first 8 seconds.
Transcribed Image Text:1. According to the law of motion, the move of a particle is explained by s = f(t) where s represents the position of the particle and t represents the time. Consider the following equation f(t) = t³ – 12t2 + 36t where t is measured in seconds and s is measured in feet. a. When is the particle at rest? b. Find the displacement of the particle during the time period, 1<t<4. Give an interpretation to the answer obtained. C. Find the total distance travelled during the first 8 seconds.
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