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A spacecraft travels from Earth to Mars in a straight line, accelerating at a constant rate for the first half of the journey and decelerating at the same rate for the second half. Assume no external forces like gravity or air resistance act on it.

Meanwhile, inside the spacecraft, a sealed container holds a gas at high pressure. As the spacecraft accelerates, the gas molecules exert more pressure on the rear wall than the front.

Explain using principles of both classical mechanics and kinetic molecular theory:

1. Why the pressure on the rear wall increases during acceleration.

2. How this relates to the motion of gas particles and Newton’s laws.

3. Would this pressure difference persist in deep space if the spacecraft reached velocity?

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