Explanation Given: The particle moving along a line has position s ( t ) = t 4 − 18 t 2 m at time t seconds. Formula used: Instantaneous velocity is v ( t ) = d s d t . Calculation: To find the time when the particle passes through the origin: At t = 0, s(0) = 0. Therefore, the particle passes through the origin at the beginning time t = 0. To find the time when the particle is instantaneously motionless i.e. v(t) = 0. v ( t ) = d s d t </

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Question

Chapter 3.4, Problem 23E

To determine

The time at which the particle passes through the origin and the time when the particle is instantaneously motionless

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Chapter 3.4, Problem 22E

Chapter 3.4, Problem 24E

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Chapter 3 Solutions

Calculus - Standalone book

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The time at which the particle passes through the origin and the time when the particle is instantaneously motionless

Solution Summary: The author explains how the particle passes through the origin at t = 0 s and is instantaneously motionless at the beginning of the line.

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The time at which the particle passes through the origin and the time when the particle is instantaneously motionless

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Chapter 3 Solutions