$\"\"$

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The position function is $\"\"$ .

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(a)

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Find velocity $\"\"$ .

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$\"\"$ .

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Apply derivative on each side with respect to $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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The velocity is $\"\"$ .

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Find acceleration $\"\"$ .

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$\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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The acceleration is $\"\"$ .

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$\"\"$

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(b)

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Find the open $\"\"$ -intervals.

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Equate $\"\"$ .

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$\"\"$

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$\"\"$ and $\"\"$

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

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The open $\"\"$ -intervals are $\"\"$ and $\"\"$ .

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$\"\"$

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(c)

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Find value of $\"\"$ .

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Equate $\"\"$ .

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$\"\"$

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$\"\"$ .

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Find velocity of the particle when the acceleration is zero.

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

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$\"\"$

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$\"\"$ .

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The velocity of the particle when the acceleration is zero is $\"\"$ .

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$\"\"$

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(a) Velocity: $\"\"$ and acceleration: $\"\"$ .

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(b) Open $\"\"$ -intervals : $\"\"$ and $\"\"$ .

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(c) The velocity of the particle when the acceleration is zero is $\"\"$ .