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1. The position of a particle is given by the function: S(t) = t3 – 6t2 + 9t wheret is in seconds, S(t) is in meters and 0

1. The position of a particle is given by the function: S(t) = t3 – 6t2 + 9t wheret is in seconds, S(t) is in meters and 0

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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### Particle Motion Problem 1. **Problem Statement:** The position of a particle is described by the function: \[ S(t) = t^3 - 6t^2 + 9t \] where \( t \) is in seconds, \( S(t) \) is in meters, and \( 0 \leq t \leq 5 \). b. **Task:** - Find the times when the particle is at rest. - Determine the position of the particle when it is at rest and at \( t = 0 \) and \( t = 5 \).
Transcribed Image Text:### Particle Motion Problem 1. **Problem Statement:** The position of a particle is described by the function: \[ S(t) = t^3 - 6t^2 + 9t \] where \( t \) is in seconds, \( S(t) \) is in meters, and \( 0 \leq t \leq 5 \). b. **Task:** - Find the times when the particle is at rest. - Determine the position of the particle when it is at rest and at \( t = 0 \) and \( t = 5 \).
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