Airborne time versus velocity
As velocity increases, so do both Hmax and t , indicating that they are directly proportional, therefore I set Vb to 20 m/s, the speed that enables tricks without impeding control. This leaves three unknown variables, , Hmax and t . I then investigated the impact of on Hmax and t : the two variables which would affect the judges score. (The graphs are only plotted to 72 o for since otherwise, after that point, 𝜃 would be negative )
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Velocity at the base of the halfpipe
Maximum height reached versus alpha
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Alpha
As alpha increases, both airborne time and maximum height reached increase, however airborne time does peak before starting to fall again, as shown in the graph below :
Airborne time versus alpha
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