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the displacement of a mass suspended on a spring is modeled by the function y = 3sin(4)(pi)(t), where y is measured in inches and t in seconds. the amplitude, period, and frequency of the motion of the mass are given by

a. amplitude = 2, period = 2, and frequency =
b. amplitude = 4, period = 2, and frequency = 1
c. amplitude = 3, period = , and frequency = 4
d. amplitude = 3, period = , and frequency = 2

The amplitude is 3, the time period is 0.5 and the frequency is 2.

D is correct.

Explanation:

Given that,

We know that,

The general equation of the S.H.M

Where, y = displacement

A = amplitude

According to equation,

Amplitude = 3

The frequency is

Frequency

The time period is reciprocal of frequency.

Hence, The amplitude is 3, the time period is 0.5 and the frequency is 2.

all of the answers are correct.

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explanation: