500
Two water slides at a pool are shaped differently, but have the same length and start at the same height h. (see picture) Two riders, Paul and Kathleen, start from rest at the same time on different slides. Which rider makes it to the bottom first?
Who is Kathleen. She is consistently at a lower elevation than Paul at any instant, until the end. This means she has converted her potential energy to kinetic energy earlier. Consequently, she is traveling faster than Paul for the whole trip except toward the end where Paul finally gets up to the same speed. Since she was going faster for the whole trip, and the distance is the same, Kathleen gets to the bottom first.