You are arguing over a cell phone while trailing an unmarked police car by 25 m; both

Chapter 2, Problem 42

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You are arguing over a cell phone while trailing an unmarked police car by 25 m; both your car and the police car are traveling at 110 km/h. Your argument diverts your attention from the police car for 2.0 s (long enough for you to look at the phone and yell, “I won’t do that!”). At the beginning of that 2.0 s, the police officer begins braking suddenly at \(5.0 \mathrm{m} / \mathrm{s}^{2}\).

(a) What is the separation between the two cars when your attention finally returns? Suppose that you take another 0.40 s to realize your danger and begin braking.

(b) If you too brake at \(5.0 \mathrm{m} / \mathrm{s}^{2}\), what is your speed when you hit the police car?

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