The position of a particle moving in a straight line is given by s=t3−3t2 feet after t seconds. Find an expression for its acceleration aa after a time tt. Is its velocity increasing or decreasing when t=7?

The position of a particle moving in a straight line is given by s=t3−3t2 feet after t seconds. Find an expression for its acceleration aa after a time tt. Is its velocity increasing or decreasing when t=7?

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Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 6P: The position of a particle moving along the x axis varies in time according to the expression x =...

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Concept explainers

Displacement, Velocity and Acceleration

In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.

Linear Displacement

The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.

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The position of a particle moving in a straight line is given by s=t³−3t² feet after t seconds. Find an expression for its acceleration aa after a time tt.

Is its velocity increasing or decreasing when t=7?

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