Two children are sliding down a snowy hill which is inclined by 44.6 degrees with respect to horizontal. One has a rough sled which has a coefficient of kinetic friction between it and the snow of μ​k= 0.350; the other has a slippery sled which has a coefficient of kinetic friction between it and the snow of μk= 0.161. If both children start at the top of the 40.4 m tall hill initially at rest, what is the difference in speed between these two sleds at the bottom of the hill?