The position of the particle as a function of time is given by x = Acos(?t + ?). Its velocity and acceleration functions can be found by taking successive time derivatives of the position function. The initial position and velocity yield two equations from which to determine the amplitude and phase constant. A particle of mass m is initially at x = 24 cm with a period of 1.2 s and moving with velocity vo = +49 cm/s. Write expressions for thefollowing. (Round numerical values in your answers to two decimal places.)(a) the position x as a function of tx(t) =m(b) the velocity vy as a function of tVx(t) =m/s(c) the acceleration ay as a function of tax(t) =m/s?The position of the particle as a function of time is given by x = Acos(wt + 8). Its velocity and acceleration functions can be found bytaking successive time derivatives of the position function. The initial position and velocity yield two equations from which todetermine the amplitude and phase constant.

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College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

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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The position of the particle as a function of time is given by x = Acos(?t + ?). Its velocity and acceleration functions can be found by taking successive time derivatives of the position function. The initial position and velocity yield two equations from which to determine the amplitude and phase constant.

A particle of mass m is initially at x = 24 cm with a period of 1.2 s and moving with velocity vo = +49 cm/s. Write expressions for the
following. (Round numerical values in your answers to two decimal places.)
(a) the position x as a function of t
x(t) =
m
(b) the velocity vy as a function of t
Vx(t) =
m/s
(c) the acceleration ay as a function of t
ax(t) =
m/s?
The position of the particle as a function of time is given by x = Acos(wt + 8). Its velocity and acceleration functions can be found by
taking successive time derivatives of the position function. The initial position and velocity yield two equations from which to
determine the amplitude and phase constant.

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