What is the maximum reaction time

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Q. A ranger in a national park is driving at 51 km/h when a deer jumps onto the road 57 m ahead of the vehicle. After a reaction time of t s, the ranger applies the brakes to produce an acceleration of -3 m/s2. What is the maximum reaction time allowed if the ranger is to avoid hitting the deer?

Q. A train is traveling up a 3.3 incline at a speed of 3.00 when the last car breaks free and begins to coast without friction. How long does it take for the last car to come to rest momentarily? How far did the last car travel before momentarily coming to rest?

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