Motocross: Physics of the Scrub

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Scrubbing over jumps in motocross is faster than jumping upright due to the flatter trajectory it creates, which reduces flight time. Mathematical proof indicates that a flatter jump allows for greater forward speed, as higher jumps require more vertical angle and reduce horizontal velocity. The technique, exemplified by James Stewart's "Bubba Scrub," emphasizes staying low and flat for optimal speed. Discussions highlight the importance of understanding the physics involved in motocross techniques, suggesting that mastering scrubbing can significantly improve performance. Overall, scrubbing is a critical skill for achieving faster lap times in motocross.
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Motocross: Physics of the "Scrub"

I was wondering why scrubbing over a jump proves to be faster than hitting the jump upright. James Stewart and many others have given poor, a likely false, explanations and some have provided logical explanations, but I wanted to see mathematical proof as to why it works.

I've attached a proof that I believe is pretty strong, but please check it out for yourself and let me know if there is anything wrong with it.

I was surprised to see in my example scenario the substantial difference in speed and time that comes from the technique.
 

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I am not sure what scrubbing means, it looks like it is flying over a flatter trajectory. Flatness determines how fast the flight ends: the flatter it is, the less time it takes. If two trajectories start and end at the same points, but one is flatter than another, then the flatter trajectory is faster. Unless I grossly misinterpret the meaning of "scrub", that's all there is to it.
 
bdub_24 said:
I was wondering why scrubbing over a jump proves to be faster than hitting the jump upright. James Stewart and many others have given poor, a likely false, explanations and some have provided logical explanations, but I wanted to see mathematical proof as to why it works.

I've attached a proof that I believe is pretty strong, but please check it out for yourself and let me know if there is anything wrong with it.

I was surprised to see in my example scenario the substantial difference in speed and time that comes from the technique.

I found that for scrubbing

Staying low and flat are the staples of Stewart’s technique, and when done correctly the Bubba Scrub is the fastest way to fly, bar none.

http://motocross.transworld.net/1000014563/photos/tuesday-tip-the-bubba-scrub/

As voko said, when you go higher, you need more time. Because if the speed of the motorcycle is the same in both cases, to jump higher you need to jump at greater angle and the forward speed will be less.

\mathtt{V_{forward}\ =\ \ V_{0}\cos{\alpha} }

Physik_Flugbahn_vs_Abwurfwinkel_en.gif







So you will be faster with scrubbing.
 
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