Vert skating is the type of skateboarding where the rider rides on a half-pipe where at the top of each wall, is completely vertical space.
Mathematics can be used to find exactly how high you will go for a given speed, or how much speed you need for a given height.
To go higher, more work must be done to attain higher speeds. Air resistance plays so little of a role in this equation, it doesn't have it's own variable.
For these equations, these variables will be used to substitute the state of the energy of the rider and other variables:
Using these equations, one can find the amount of work needed to reach any height:
Here is a problem solved using these numbers:
Therefore, in this equation, the rider would have to go at a rate of 9.93 meters per second to go about 6 meters high.