A PARTICLE IS MOVING ALONG A HORIZONTAL LINE ACCORDING TO THE GIVEN EQUATION WHERE AT (t) SECONDS, (s )METERS IS THE DIRECTED DISTANCE OF THE PARTICLE FROM THE ORIGIN, (v) meters per second IS THE INSTANTANEOUS ACCELERATION OF THE PARTICLE, FIND (v) AND (a)  IN TERMS OF (t).2 MAKE A TABLE THAT GIVES A Description THE POSITION AND MOTION OF THE PARTICLE, INCLUDE IN THE TABLE THE INTERVALS OF TIME WHEN THE PARTICLE IS MOVING TO THE LEFT, WHEN IT IS MOVING TO THE RIGHT, WHEN THE VELOCITY IS INCREASING, WHEN THE VELOCITY IS DECREASING, WHEN THE SPEED IS INCREASING, WHEN THE SPEED IS DECREASING, AND THE POSITION OF THE PARTICLE WITH RESPECT TO THE ORIGIN DURING THESE INTERVALS OF TIME. SH

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Author:Raymond A. Serway, John W. Jewett
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Chapter3: Vectors
Section: Chapter Questions
Problem 3.62AP: After a ball rolls off the edge of a horizontal table at time t = 0, its velocity as a function of...
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3.) 

A PARTICLE IS MOVING ALONG A HORIZONTAL LINE ACCORDING TO THE GIVEN EQUATION WHERE
AT (t) SECONDS, (s )METERS IS THE DIRECTED DISTANCE OF THE PARTICLE FROM THE ORIGIN, (v) meters per second IS THE INSTANTANEOUS ACCELERATION OF THE PARTICLE, FIND (v) AND (a)  IN TERMS OF (t).2 MAKE A TABLE THAT GIVES A Description THE POSITION AND MOTION OF THE PARTICLE, INCLUDE IN THE TABLE THE INTERVALS OF TIME WHEN THE PARTICLE IS MOVING TO THE LEFT, WHEN IT IS MOVING TO THE RIGHT, WHEN THE VELOCITY IS INCREASING, WHEN THE VELOCITY IS DECREASING, WHEN THE SPEED IS INCREASING, WHEN THE SPEED IS DECREASING, AND THE POSITION OF THE PARTICLE WITH RESPECT TO THE ORIGIN DURING THESE INTERVALS OF TIME. SHOW THE BEHAVIOR OF THE MOTION.

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

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