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A particle moves in a straight line with displacement function s(t) = 12t 2t 3 1

Mathematics for the International Student: Mathematics SL | 3rd Edition | ISBN: 9781921972089 | Authors: Sandra Haese, Michael Haese, Robert Haese, Mark Humphries, Marjut Maenpaa ISBN: 9781921972089 446

Solution for problem 5 Chapter 17

Mathematics for the International Student: Mathematics SL | 3rd Edition

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Mathematics for the International Student: Mathematics SL | 3rd Edition | ISBN: 9781921972089 | Authors: Sandra Haese, Michael Haese, Robert Haese, Mark Humphries, Marjut Maenpaa

Mathematics for the International Student: Mathematics SL | 3rd Edition

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Problem 5

A particle moves in a straight line with displacement function s(t) = 12t 2t 3 1 centimetres where t is in seconds, t > 0. a Find velocity and acceleration functions for the particles motion. b Find the initial conditions and interpret their meaning. c Find the times and positions when the particle reverses direction. d At what times is the particles: i speed increasing ii velocity increasing?

Step-by-Step Solution:

Step 1 of 7

a) It is given that  centimetres.

Find  and  by differentiating w. r. t.  as shown below:

The velocity is  .

Step 2 of 7

Chapter 17, Problem 5 is Solved
Step 3 of 7

Textbook: Mathematics for the International Student: Mathematics SL
Edition: 3
Author: Sandra Haese, Michael Haese, Robert Haese, Mark Humphries, Marjut Maenpaa
ISBN: 9781921972089

The answer to “A particle moves in a straight line with displacement function s(t) = 12t 2t 3 1 centimetres where t is in seconds, t > 0. a Find velocity and acceleration functions for the particles motion. b Find the initial conditions and interpret their meaning. c Find the times and positions when the particle reverses direction. d At what times is the particles: i speed increasing ii velocity increasing?” is broken down into a number of easy to follow steps, and 68 words. This full solution covers the following key subjects: . This expansive textbook survival guide covers 25 chapters, and 453 solutions. Mathematics for the International Student: Mathematics SL was written by and is associated to the ISBN: 9781921972089. Since the solution to 5 from 17 chapter was answered, more than 276 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 5 from chapter: 17 was answered by , our top Math solution expert on 03/15/18, 06:04PM. This textbook survival guide was created for the textbook: Mathematics for the International Student: Mathematics SL, edition: 3.

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A particle moves in a straight line with displacement function s(t) = 12t 2t 3 1