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.

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
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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.
Transcribed Image Text: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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