A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at 130 and moves to the right. The amplitude of its motion is 2.00 cm, and the frequency is 1.50 Hz. (a) Find an expres- sion for the position of the particle as a function of time. Determine (b) the maximum speed of the particle and (C) the earliest time (t> 0) at which the particle has this speed. Find (d) the maximum positive acceleration of the particle and (e) the earliest time (1> 0) at which the parti- cle has thi

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1. A particle moving along the x axis in simple harmonic
motion starts from its equilibrium position, the origin, at
1%30 and moves to the right. The amplitude of its motion is
cm, and the frequency is 1.50 Hz. (a) Find an expres-
2.00
sion for the position of the particle as a function of time.
Determine (b) the maximum speed of the particle and
(() the earliest time (t> 0) at which the particle has this
speed. Find (d) the maximum positive acceleration of the
particle and (e) the earliest time (1> 0) at which the parti-
cle has this acceleration. (f) Find the total distance traveled
by the particle between t 0 and t 1.00 s.
%3D
Transcribed Image Text:1. A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at 1%30 and moves to the right. The amplitude of its motion is cm, and the frequency is 1.50 Hz. (a) Find an expres- 2.00 sion for the position of the particle as a function of time. Determine (b) the maximum speed of the particle and (() the earliest time (t> 0) at which the particle has this speed. Find (d) the maximum positive acceleration of the particle and (e) the earliest time (1> 0) at which the parti- cle has this acceleration. (f) Find the total distance traveled by the particle between t 0 and t 1.00 s. %3D
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