A dog is lurking behind a billboard beside the highway when he sees cat speeds by him at . The Dog immediately accelerates at a constant rate of until he has caught up with the speeder. How long does it take for the dog to catch up?
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Note that the dog must have average speed of 30 m/s, which means that it must have a final velocity of 60 m/s, due to constant acceleration. This takes him 10 seconds.