An extreme skier, starting from rest, coasts down a mountain slope that makes an angle of 25.0° with the horizontal. the coefficient of kinetic friction between her skis and the snow is 0.200. she coasts down a distance of 8.7 m before coming to the edge of a cliff. without slowing down, she skis off the cliff and lands downhill at a point whose vertical distance is 4.20 m below the edge. how fast is she going just before she lands

Neptune is the eighth planet from the sun. it was the first planet to get its existence predicted by  mathematical calculations  before it was actually seen through a telescope on sept. 23, 1846. irregularities in the orbit of  uranus  led french astronomer alexis bouvard to suggest that the gravitational pull from another celestial body might be responsible. german astronomer johann galle then relied on subsequent calculations to   spot neptune via telescope. previously, astronomer galileo galilei sketched the planet, but he mistook it for a star due to its slow motion. in accordance with all the other planets seen in the sky, this new world was given a name from greek and roman mythology — neptune, the roman god of the sea.