a. Explanation Given information : The position of an object moving along a line is given by the function s ( t ) = 3 t 2 + 2 t − 5 o n [ 0 , 1 ] Concept Involved: Rectilinear Motion: An object that moves along a straight line with position s ( t ) has velocity v ( t ) = d s d t and acceleration a ( t ) = d v d t = d 2 s d t 2 when these derivatives exist. The speed of the object is | v ( t ) | . If v ( t ) > 0 , we say that the object is advancing, and if v ( t ) < 0 , it is retreating. If v ( t ) = 0 , the object is neither advancing not retreating, and we say it is stationary b. To determine To find : the acceleration at time t. c. To determine To compute : the total distance travelled by the object during the indicated time interval and describes the motion of the object. d. To determine To tell : when the object is accelerating and when it is decelerating.

6th Edition

ISBN: 9781465208880

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

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Chapter 3.4, Problem 16PS

To determine

Tofind : the velocity at time t.

To determine

To find : the acceleration at time t.

To determine

To compute : the total distance travelled by the object during the indicated time interval and describes the motion of the object.

To determine

To tell : when the object is accelerating and when it is decelerating.

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Chapter 3.4, Problem 15PS

Chapter 3.4, Problem 17PS

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Chapter 3 Solutions

Calculus

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Tofind : the velocity at time t.

Solution Summary: The author explains the concept of Rectilinear Motion: an object that moves along a straight line with position s(t) has velocity and acceleration, and the speed of the object is calculated.

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Tofind : the velocity at time t.

To find : the acceleration at time t.

To compute : the total distance travelled by the object during the indicated time interval and describes the motion of the object.

To tell : when the object is accelerating and when it is decelerating.

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Chapter 3 Solutions