We will be arriving in Zurich around 12pm, flying out early the following morning. After dropping our bags off at an airport hotel, I figure we will be ready to tour the city no later than 2pm. Would that give us enough time to travel to and 'adequately' see Lucerne? Another possibility would to go up to Mt Uetliberg, and then seeing Zurich in the evening. We have never been in Switzerland before, which would you recommend?