Step 1 :

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The position of an object is $\"\"$ .

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The average velocity of an object :

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$\"\"$

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The average velocity of an object between $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Solution :

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The average velocity of an object between $\"\"$ and $\"\"$ is 8.1327869.

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The average velocity of an object between $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Solution :

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The average velocity of an object between $\"\"$ and $\"\"$ is 8.01332779.

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The average velocity of an object between $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Solution :

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The average velocity of an object between $\"\"$ and $\"\"$ is 8.0013333.

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The average velocity of an object between $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Solution :

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The average velocity of an object between $\"\"$ and $\"\"$ is 7.318181818.

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The average velocity of an object between $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Solution :

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The average velocity of an object between $\"\"$ and $\"\"$ is 7.86610169.

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The average velocity of an object between $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Solution :

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The average velocity of an object between $\"\"$ and $\"\"$ is 7.986661.

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Step 1 :

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The position of an object is $\"\"$ .

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Instantaneous velocity of an object at $\"\"$ is defined as $\"\"$ .

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Consider $\"\"$ .

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

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$\"\"$

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$\"\"$

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Substitute $\"\"$ in above expression to find instantaneous velocity.

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$\"\"$

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Instantaneous velocity of an object at $\"\"$ is 8.

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Since the result is positive , then it is to be said that the object is moving right side.

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Solution :

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Instantaneous velocity of an object at $\"\"$ is 8.

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Object is moving right side.

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The average velocity of an object between $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Solution :

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The average velocity of an object between $\"\"$ and $\"\"$ is 7.9986666.

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