3.)  This is differential Calculus subject. A PARTICLE IS MOVING ALONG A HORIZONTAL LINE ACCORDING TO THE GIVEN EQUATION. The Equation is S = t^3 - 9t^2 + 15t ; t>=0. where (s) meters is the directed distance of the particle from the originat (t) seconds. where (v) meters per second is the instantaneous acceleration of the particle.    1. FIND (v) AND (a)  IN TERMS OF (t). 2. MAKE A TABLE THAT GIVES A Description of THE POSITION AND MOTION of the particle,     include in the table the intervals of time when the PARTICLE IS MOVING TO THE LEFT AND RIGHT     include in the table when the VELOCITY IS INCREASING AND DECREASING     include in the table when the SPEED IS INCREASING AND DECREASING     include in the table the POSITION OF THE PARTICLE with respect to the origin during these intervals of time.     and Show the BEHAVIOR OF THE MOTION

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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3.)  This is differential Calculus subject.

A PARTICLE IS MOVING ALONG A HORIZONTAL LINE ACCORDING TO THE GIVEN EQUATION.

The Equation is S = t^3 - 9t^2 + 15t ; t>=0.

where (s) meters is the directed distance of the particle from the originat (t) seconds.
where (v) meters per second is the instantaneous acceleration of the particle. 

 

1. FIND (v) AND (a)  IN TERMS OF (t).

2. MAKE A TABLE THAT GIVES A Description of THE POSITION AND MOTION of the particle,
    include in the table the intervals of time when the PARTICLE IS MOVING TO THE LEFT AND RIGHT
    include in the table when the VELOCITY IS INCREASING AND DECREASING
    include in the table when the SPEED IS INCREASING AND DECREASING
    include in the table the POSITION OF THE PARTICLE with respect to the origin during these intervals of time.
    and Show the BEHAVIOR OF THE MOTION

 

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