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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.

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explanation: