Posted by Anonymous on Wednesday, March 21, 2012 at 12:37am.
If the bus is moving with constant velocity, there's no net force on the bus, and thus you don't need to compensate for the bus's motion.
If the bus is moving forward with constant acceleration, there will be a force pushing the bus forward, however from inertia you will want to stay at rest. Thus from your perspective as an accelerated observer (from friction dragging you with the bus) you will feel a pseudoforce backward. To compensate lean forward.
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