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A $1200\text{ kg}$ car is traveling at a speed of $25\text{ m/s}$. In an attempt to beat a yellow light, the car accelerates at a constant rate of $5\text{ m/s}^2$. The car stops accelerating after covering a distance of $50\text{ m}$.

Which of the following most closely approximates the final kinetic energy of the car?

A

$375{,}000\text{ J}$

B

$300{,}000\text{ J}$

C

$33.5\text{ J}$

D

$675{,}000\text{ J}$

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