A skater (m = 50 kg) on top of a 30 m hill moves down the hill (with an initial velocity of 0 m/s) with no appreciable friction.

1. Find the skater's speed at the bottom of the hill. (5 pts)
2. Find the skater's Kinetic Energy at the bottom of the hill. (5 pts)
3. What would the Kinetic Energy at the bottom of the hill be if the skater's initial speed was 3 m/s? (5 pts)