This is a series of mystery geocaches that revolves around the village of Skeppsmyra and its surroundings. The posted coordinates are not the correct ones. Solve the problems to find the positions of the containers.
To get here you can either go by car or use public transportations. Storstockholms Lokaltrafik (SL) offers daily bus transportation, line 636. You can also go by boat to Östersjö brygga, check Waxholmsbolaget´s timetable. If you are in possession of a boat you can of course use that. In the winter, if there is solid ice, it could be nice to skate to the location (from e.g. Norrtälje, Gräddö or Vätö).
The two brothers Ovesson and Yngvesson share affection for cars. Their collections range from total wrecks to vehicles that are actually possible to drive. Ovesson decides to go to his brother’s place. He selects the car with the number plate below:
Ovesson speeds up from stand still to 70 km/h at a constant acceleration of 0.5 m/s 2 . He then stays at that velocity until he approaches his target destination. When he is close to Yngvesson’s place he breaks constantly at 1 m/s 2 until the car stops. In total he travels 3012 m. How long time does it take for him to get there? Air resistance and other losses shall be ignored.
The car´s fuel consumption looks like this:
How much fuel has been used during the trip? For the acceleration, assume that the consumption corresponds to the consumption at a velocity 3.143 times the mean velocity during that sequence. I.e. fuel consumption at 3.143 * v, where v = mean velocity during acceleration sequence. The car requires almost no fuel when Ovesson breaks. The fuel consumption during that sequence is negligible.
When Ovesson reaches Yngvesson´s home the latter is deeply involved in repairing a car with this number plate:
ABC = time to get to Yngvesson (whole seconds) * 4 + fuel consumption (whole centiliters) * 5 + 20
DE = fuel consumption (whole centiliters) * 2 + 5
Du kan validera din pussellösning med certitude.