You are enjoying a coffee break with your cousin in her highway patrol car when a sports

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You are enjoying a coffee break with your cousin in her highway patrol car when a sports car speeds by at \(135 \mathrm{~km} / \mathrm{h}\). Your cousin tells you to hold her coffee as she starts the car, and she offers to bet you ten dollars that she can catch the speeder before he reaches the state line. You know that the state line is \(2.0 \mathrm{~km}\) away along the straight and level highway, and you have read that police cruisers can reach a top speed of \(210 \mathrm{~km} / \mathrm{h}\) within \(15 \mathrm{~s}\) from a resting start. As the car begins to move, you realize that \(5.0 \mathrm{~s}\) has already elapsed and that you must decide soon. Should you take the bet?

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