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A person driving her car at 49.0 km/hr approaches an intersection just as the traffic light...

  1. A person driving her car at 49.0 km/hr approaches an intersection just as the traffic light turns yellow. She knows that the yellow light lasts only 1.80 s before turning to red, and she is a distance D = 35.0 m away from the near side of the intersection. If she decides to stop, how far from the intersection will she come to a stop? The intersection is W =11.0 m wide. Her car's maximum deceleration is -5.70 m/s2. Ignore the length of her car and her reaction time. Assume the beginning of the intersection the origin of your x-coordinate and take distances beyond the intersection to be positive and distances before the intersection to be negative.
  2. You want to look smart in front of your friends, so you drop a pencil off a building and start counting. You count that it takes exactly 2.86 seconds to hit the ground (you are pretty good at counting seconds), how far up in the air should you tell your friends you guys are.
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