$\"\"$

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The acceleration of the car 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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$\"\"$

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

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Initial velocity of the car is $\"\"$ mi/h.

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The velocity of the car in ft/s is $\"\"$ .

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

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$\"\"$

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Therefore the velocity of the car is $\"\"$ .

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The car comes to rest when $\"\"$ .

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$\"\"$

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After $\"\"$ s car comes to rest position.

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$\"\"$

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

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Hence $\"\"$ .

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The antiderivative of $\"\"$ is

\

$\"\"$

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

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Initial distance is $\"\"$ .

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Therefore the distance of the car at time $\"\"$ is $\"\"$ .

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Find the distance travelled by the car.

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

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$\"\"$

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Therefore the distance travelled by the car is $\"\"$ ft.

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$\"\"$

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The distance travelled by the car is $\"\"$ ft.