|
Re: <R08> Section M
I decided to do some more math to see exactly how it would be possible to have robots carry out these super high speed colisions.
Using f=m•a and f=μ•fn, where fn = m•g on a level surface, solving into each other we get a=μ•g. Since gravity is 9.81 m/s2, and the given coefficient μ of static friction in the game manual is 0.06, we get a maximum robot acceleration this year of 0.5886 m/s2. It would take a robot ~4.66 seconds of maximum acceleration to reach 9ft/sec or ~2.74 m/s. During this time, the robots would each need ~6.39m to accelerate to this final velocity, or about 20ft. If their wheels were slipping the entire way, resolving for dynamic friction would give us about ~7.66m or ~25.1 ft covered while accelerating to top speed.
In order for this to happen, the two robots would have to be at opposite ends of the playing field, and simultaneously floor it and accelerate as fast as possible without wheel slip until then both hit each other head on. You know, kind of like what's going to happen in autonomous? ;-)
|