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The effect of being "pushed" back in the bus is in fact not a force applied on the passengers. The feeling of being pushed back is actually the passengers' inertia (or propensity to remain at the same velocity) continuing to remain at the same velocity as before, at rest. Thus, the bus is literally moving under your feet when your body remains at the same velocity as before; thus, the force applied in this situation is actually in the same direction as the acceleration of the bus since your body needs to move with the bus rather than fly towards the back of the bus. Inertia, is resistance to change: A mass at rest resists being put into motion; The momentum of a moving mass, resists all forms of change in its straight line motion. Inertia, is resistance; momentum is force.

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