The position of a particle moving along an x axis is given by x = 12.0t2 - 2.00t°, where x is in meters and t is in seconds. Determine (a) theposition, (b) the velocity, and (c) the acceleration of the particle at t = 3.00 s. (d) What is the maximum positive coordinate reached bythe particle and (e) at what time is it reached? (f) What is the maximum positive velocity reached by the particle and (g) at what time isit reached? (h) VWhat is the acceleration of the particle at the instant the particle is not moving (other than at t = 0)? (i) Determine theaverage velocity of the particle between t = 0 and t 3.00 s.(a) NumberiUnits(b) NumberUnits(c) NumberiUnits(d) NumberUnits(e) NumberUnits(f) NumberUnits(g) NumberiUnits(h) NumberiUnits(i) NumberiUnits

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Description: The position of a particle moving along an x axis is given by x = 12.0t2 - 2.00t°, where x is in meters and t is in seconds. Determine (a) theposition, (b) the velocity, and (c) the acceleration of the particle at t = 3.00 s. (d) What is the maximum

Given data: Position as function of time x = 12.0t2 - 2.00t3 x in meters and t in seconds Required:…

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The position of a particle moving along an x axis is given by x = 12.0t2 - 2.00t3, where x is in meters and t is in seconds. Determine (a) the position, (b) the velocity, and (c) the acceleration of the particle at t = 3.00 s. (d) What is the maximum positive coordinate reached by

The position of a particle moving along an x axis is given by x = 12.0t2 - 2.00t3, where x is in meters and t is in seconds. Determine (a) the position, (b) the velocity, and (c) the acceleration of the particle at t = 3.00 s. (d) What is the maximum positive coordinate reached by

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Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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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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Question

The position of a particle moving along an x axis is given by x = 12.0t2 - 2.00t°, where x is in meters and t is in seconds. Determine (a) the
position, (b) the velocity, and (c) the acceleration of the particle at t = 3.00 s. (d) What is the maximum positive coordinate reached by
the particle and (e) at what time is it reached? (f) What is the maximum positive velocity reached by the particle and (g) at what time is
it reached? (h) VWhat is the acceleration of the particle at the instant the particle is not moving (other than at t = 0)? (i) Determine the
average velocity of the particle between t = 0 and t 3.00 s.
(a) Number
i
Units
(b) Number
Units
(c) Number
i
Units
(d) Number
Units
(e) Number
Units
(f) Number
Units
(g) Number
i
Units
(h) Number
i
Units
(i) Number
i
Units

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