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Mathematical modeling of ski resort design
The key point of this problem is that if it is a U-shaped pool, the only way for skiers to achieve vertical suspension is to change the center of gravity on the arc track to accelerate. So the main points you should consider are as follows:

1, explain the acceleration process with the model;

2. The change of the center of gravity must be within the range that the human body can bear and can be successfully implemented;

3. What is the best initial velocity to enter a circular orbit?

4. What is the relationship between the realization of maximum body deformation and the snowfield?

5. Other trade-offs: cost and the possibility of injury to players.