$\"\"$

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The position function is $\"\"$ .

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Where $\"\"$ is the initial height.

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$\"\"$ is the initial velocity.

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Initial height $\"\"$ .

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Initial velocity for freely falling body is zero, $\"\"$ .

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(a)

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Position function is $\"\"$ .

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Velocity function is at time $\"\"$ is the derivative of position function $\"\"$

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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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Velocity function is $\"\"$ .

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$\"\"$

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(b)

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The function is $\"\"$ and Interval $\"\"$ .

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The average velocity is $\"\"$

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Substitute $\"\"$ in the position function.

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$\"\"$

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Substitute $\"\"$ in the position function.

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$\"\"$

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The average velocity is $\"\"$ .

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The average velocity is $\"\"$ .

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$\"\"$

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(c)

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Find the instantaneous velocity at $\"\"$ and $\"\"$ .

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Instantaneous velocity is the derivative of the position function $\"\"$ .

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Instantaneous velocity $\"\"$ .

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Instantaneous velocity at $\"\"$ is $\"\"$ .

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Instantaneous velocity at $\"\"$ is $\"\"$ .

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$\"\"$

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(d)

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Find the time $\"\"$ when the coin reaches the ground.

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The position function is equated to zero.

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$\"\"$

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The time required to reach ground is $\"\"$ .

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$\"\"$

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(e)

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Find the impact velocity of the coin.

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Velocity of the coin at $\"\"$ .

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Velocity of the coin $\"\"$ .

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

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$\"\"$

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Impact velocity is $\"\"$ .

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$\"\"$

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(a)

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Position function is $\"\"$ .

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Velocity function is $\"\"$ .

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(b)

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The average velocity is $\"\"$ .

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(c)

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Instantaneous velocity at $\"\"$ is $\"\"$ .

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Instantaneous velocity at $\"\"$ is $\"\"$ .

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(d)

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The time required to reach ground is $\"\"$ .

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(e)

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Impact velocity is $\"\"$ .