A skiier is moving at a speed of 2.50 m/s when passing the starting line on a hill that initially has a 20.0° slope.  After 32.0 m the hill becomes steeper with a slope of 30° for the next 32.0 m until the finish line which is at an elevation of 30.0 m below the starting point.  Assuming there is no friction or air resistance, how fast is the skiier moving at the finish line?

While standing at the edge of the roof of a building, a man throws a stone upward with an initial speed of 7.00 m/s. The stone subsequently falls to the ground, which is 14 m below the point where the stone leaves his hand. At what speed does the stone impact the ground? Ignore air resistance and use g = 9.81 m/s for the acceleration due to gravity. (See the diagram below.) Vyi = = 7.00 m/s- Stone. 14.0 m Vyf a. 15 m/s b. 12 m/s c. 21 m/s d. 24 m/s e. 18 m/s

OK, same sort of track, but now with d = 4.63 m. Now suppose the blocks starts on the track at x = 4.73 m. The block is given a push to the left and begins to slide up the track, eventually reaching its maximum height at x = 0, at which point it turns around and begins sliding down. What was its initial speed in this case?     13.30 m/s     14.13 m/s     9.74 m/s     6.89 m/s

What is the maximum speed that the skater can reach if she goes all the way down to ground level?