The first two videos are accelerated. That's why the bike appears so fast. On the AWD video, notice the snow is light and fluffy and the tires dig down to almost dry pavement. If it were packed snow and this deep those cars would get high-centered or at least not get as much traction and they wouldn't be going anywhere.

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2004 VW Jetta TDI (manual)

Past MB's: '96 E300D, '83 240D, '82 300D, '87 300D, '87 420SEL