$\"\"$

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(a)

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The equation is $\"\"$ , where $\"\"$ is the displacement in meters and $\"\"$ is the time in seconds.

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The equation is in the form of $\"\"$ .

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Here $\"\"$ and $\"\"$ .

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The motion is simple harmonic.

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$\"\"$

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(b)

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The maximum displacement of the object from its resting position is the amplitude $\"\"$ .

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$\"\"$ .

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$\"\"$

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(c)

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The time required for one oscillation is the period $\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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The time period is $\"\"$ .

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$\"\"$

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(d)

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The frequency is the reciprocal of the period.

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Thus, $\"\"$ .

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Frequency is $\"\"$ .

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$\"\"$

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(a) The motion is simple harmonic.

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(b) $\"\"$ .

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(c) $\"\"$ .

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(d) $\"\"$ .