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A particle P moves in a straight line. Its displacement from the origin O is given by

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 7 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 7

A particle P moves in a straight line. Its displacement from the origin O is given by s(t) = 100t + 200e t 5 cm where t is the time in seconds, t > 0. a Find the velocity and acceleration functions. b Find the initial position, velocity, and acceleration of P. c Discuss the velocity of P as t ! 1. d Sketch the graph of the velocity function. e Find when the velocity of P is 80 cm per second.

Step-by-Step Solution:

Step 1 of 4                

The displacement equation is given as.

For determining the velocity of the particle P, differentiate the displacement equation with respect to .

Hence the velocity of the particle P is .

For determining the acceleration of the particle P, differentiate the velocity equation with respect to  .

Hence the velocity of the particle P is  .

Step 2 of 4

Chapter 17, Problem 7 is Solved
Step 3 of 4

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

Since the solution to 7 from 17 chapter was answered, more than 339 students have viewed the full step-by-step answer. Mathematics for the International Student: Mathematics SL was written by and is associated to the ISBN: 9781921972089. This full solution covers the following key subjects: . This expansive textbook survival guide covers 25 chapters, and 453 solutions. This textbook survival guide was created for the textbook: Mathematics for the International Student: Mathematics SL, edition: 3. The answer to “A particle P moves in a straight line. Its displacement from the origin O is given by s(t) = 100t + 200e t 5 cm where t is the time in seconds, t > 0. a Find the velocity and acceleration functions. b Find the initial position, velocity, and acceleration of P. c Discuss the velocity of P as t ! 1. d Sketch the graph of the velocity function. e Find when the velocity of P is 80 cm per second.” is broken down into a number of easy to follow steps, and 82 words. The full step-by-step solution to problem: 7 from chapter: 17 was answered by , our top Math solution expert on 03/15/18, 06:04PM.

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A particle P moves in a straight line. Its displacement from the origin O is given by