A particle's position in meters at t seconds is given by r(t) = 2t3 + t2 -4t + 1. State the particle's velocity and acceleration functions. At t 3, what is the particle's position, velocity, and acceleration? For what interval of time is the particle moving backwards? %3D

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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9. A particle's position in meters at t seconds is given by x(t) 2t3 + t2 – 4t + 1. State the
particle's velocity and acceleration functions. At t 3, what is the particle's position,
velocity, and acceleration? For what interval of time is the particle moving backwards?
Transcribed Image Text:9. A particle's position in meters at t seconds is given by x(t) 2t3 + t2 – 4t + 1. State the particle's velocity and acceleration functions. At t 3, what is the particle's position, velocity, and acceleration? For what interval of time is the particle moving backwards?
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