If you were standing in a bus moving at constant velocity would you have to lean in some special way to compensate for the bus's motion? Explain . What if the bus were at a constant acceleration? Explain.

Answer 1

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.