The position of a particle undergoing simple harmonic mo- tion is given by x(t) = a cos(bt + /3), where a = 8.00 m and b = 2.00 s. what are the (a) amplitude, (b) frequency f. and (c) period? (d) What are the speed and acceleration mag- nitude of the particle at t = #/2 s? (e) What is its maximum acceleration magnitude, and at what instant after t = 0 does the particle first have this acceleration? (f) What is its maxi- mum speed, and at what instant after t = 0 does it first have this speed?

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The position of a particle undergoing simple harmonic mo-
tion is given by x(t) = a cos(bt + 7/3), where a = 8.00 m
and b = 2.00 s. What are the (a) amplitude, (b) frequencyf,
and (c) period? (d) What are the speed and acceleration mag-
nitude of the particle at t = 7/2 s? (e) What is its maximum
acceleration magnitude, and at what instant after t = 0 does
the particle first have this acceleration? (f) What is its maxi-
mum speed, and at what instant aftert = 0 does it first have
this speed?
Transcribed Image Text:The position of a particle undergoing simple harmonic mo- tion is given by x(t) = a cos(bt + 7/3), where a = 8.00 m and b = 2.00 s. What are the (a) amplitude, (b) frequencyf, and (c) period? (d) What are the speed and acceleration mag- nitude of the particle at t = 7/2 s? (e) What is its maximum acceleration magnitude, and at what instant after t = 0 does the particle first have this acceleration? (f) What is its maxi- mum speed, and at what instant aftert = 0 does it first have this speed?
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