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(a)

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The equation of motion is $\"\"$ .

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Velocity is the defined : $\"\"$ .

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$\"\"$

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Differentiate on each side with respect to $\"\"$ .

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$\"\"$

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Acceleration is the defined as $\"\"$ .

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$\"\"$

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Differentiate on each side with respect to $\"\"$ .

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$\"\"$

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(b)

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Position of the mass at time $\"\"$ .

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$\"\"$ .

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Substitute $\"\"$ in above expression.

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$\"\"$

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Position of the mass at time $\"\"$ is $\"\"$

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Velocity of the mass at time $\"\"$ .

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$\"\"$ .

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Substitute $\"\"$ in above expression.

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$\"\"$

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Velocity of the mass at time $\"\"$ is $\"\"$

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Acceleration of the mass at time $\"\"$ .

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$\"\"$

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Acceleration of the mass at time $\"\"$ is $\"\"$

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Negative values of velocity and the acceleration indicates that the mass is moving to the left.

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(a)

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Velocity of the mass is $\"\"$ ,

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Acceleration of the mass $\"\"$ .

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(b)

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Position of the mass at time $\"\"$ is $\"\"$

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Velocity of the mass at time $\"\"$ is $\"\"$

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Acceleration of the mass at time $\"\"$ is $\"\"$