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A particle moves according to a law of motion s = f(t) = t3 – 12t2 + 36t – 7, where tis measured in seconds and s in feet. (a) The particle's initial position is (b) After 5 seconds the velocity = (c) The particle is at rest after seconds and after + seconds; (d) The particle is moving in the negative direction when t is in the interval (e) The particle is speeding up when t is in the interval (f) Find the total distance traveled during the first 7 seconds = (g) The + diagram illustrates the motion of the particle. t=2 (fig 1) (Fig 2)

A particle moves according to a law of motion s = f(t) = t3 – 12t2 + 36t – 7, where tis measured in seconds and s in feet. (a) The particle's initial position is (b) After 5 seconds the velocity = (c) The particle is at rest after seconds and after + seconds; (d) The particle is moving in the negative direction when t is in the interval (e) The particle is speeding up when t is in the interval (f) Find the total distance traveled during the first 7 seconds = (g) The + diagram illustrates the motion of the particle. t=2 (fig 1) (Fig 2)

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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A particle moves according to a law of motion s = f(t) = t3 – 12t? + 36t – 7, where tis measured in seconds and s in feet. (a) The particle's initial position is (b) After 5 seconds the velocity = (c) The particle is at rest after seconds and after seconds; (d) The particle is moving in the negative direction when t is in the interval (e) The particle is speeding up when t is in the interval (f) Find the total distance traveled during the first 7 seconds = (g) The • diagram illustrates the motion of the particle. t=0 t=1 t=2 (fig 1) (Fig 2)
Transcribed Image Text:A particle moves according to a law of motion s = f(t) = t3 – 12t? + 36t – 7, where tis measured in seconds and s in feet. (a) The particle's initial position is (b) After 5 seconds the velocity = (c) The particle is at rest after seconds and after seconds; (d) The particle is moving in the negative direction when t is in the interval (e) The particle is speeding up when t is in the interval (f) Find the total distance traveled during the first 7 seconds = (g) The • diagram illustrates the motion of the particle. t=0 t=1 t=2 (fig 1) (Fig 2)
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