$\"\"$

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The acceleration due to gravity on earth is $\"\"$ ft/s².

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The acceleration of the object is $\"\"$ , where $\"\"$ is the velocity.

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Hence $\"\"$ .

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The antiderivative of $\"\"$ is $\"\"$ .

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The stone is freely falling, so the initial velocity $\"\"$ .

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

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$\"\"$

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Therefore the velocity of a stone at time $\"\"$ is $\"\"$ .

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$\"\"$

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The velocity of the stone, when it hits the ground is $\"\"$ ft/s.

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Find the time when it reaches the ground.

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$\"\"$

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Negative sign indicates that the stone is falling downward.

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The stone reaches the ground at time $\"\"$ sec

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$\"\"$

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$\"\"$ .

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The velocity of the object is $\"\"$ , where $\"\"$ is the distance.

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The antiderivative of $\"\"$ is

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$\"\"$

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$\"\"$ , where $\"\"$ is the constant.

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When time $\"\"$ , then the height of stone is the height of the cliff.

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$\"\"$

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$\"\"$

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$\"\"$ is the height of cliff.

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When the stone reaches the ground then the height of the stone is $\"\"$ .

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

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$\"\"$

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The height of the cliff is $\"\"$ ft.

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$\"\"$

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The height of the cliff is $\"\"$ ft.