$\"\"$

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(a)

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The simple harmonic motion is $\"\"$ .

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The equation is in the form $\"\"$ , with $\"\"$ and $\"\"$ .

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The maximum displacement (from the point of equilibrium) is the amplitude.

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Thus, the maximum displacement is $\"\"$ . $\"\"$

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(b)

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The simple harmonic motion is $\"\"$ .

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The frequency $\"\"$ .

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Substitute $\"\"$ in frequency.

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Frequency $\"\"$

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Frequency $\"\"$ .

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Thus, the frequency is $\"\"$ cycle per unit of time.

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$\"\"$

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(c)

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The simple harmonic motion is $\"\"$ .

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Consider $\"\"$ .

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Substitute $\"\"$ in above equation. \ \

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$\"\"$

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$\"\"$

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$\"\"$

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The value of d, when $\"\"$ is $\"\"$ . $\"\"$

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(d)

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The simple harmonic motion is $\"\"$ .

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To find the least positive value of t, solve the equation $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Thus, the least positive value of $\"\"$ .

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$\"\"$

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(a) The maximum displacement is $\"\"$ .

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(b) The frequency is $\"\"$ cycle per unit of time.

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(c) The value of d when $\"\"$ is $\"\"$ .

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(d) The least positive value of $\"\"$ .