1- A professional skier reaches a speed of 56 m/s on a 30degree ski slope. Ignoring friction, what was the minimum distance along the slope the skier would have had to travel, starting from rest.
2- A cannon of mass 1500kg fires a 10 kg shell with a velocity of 200m/s at an angle of 45degrees above the horizontal. Discover the recoil velocity of the cannon across the level ground.
3- A bucket in an old well is hoisted upward by a rope which winds up on a cylinder having a radius of .050 m. How many rev/s should the cylinder turn if the bucket is raised at a speed of 0.15m/s.