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A rocket, launched from rest, steadily increases speed at a rate of 14.0m/s^2 for a 3.50s interval while burning fuel. After running out of fuel, the rocket continues upward but slows steadily at a rate of 10.0m/s^2 until reaching maximum height.

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Final answer:

The subject of the question is Physics. The rocket's acceleration depends on three major factors: the exhaust velocity of the gases relative to the rocket, the rate at which mass is ejected from the rocket, and the mass of the rocket. In the given question, the rocket steadily increases speed while burning fuel and then slows down until reaching maximum height.

Step-by-step explanation:

The subject of the question is Physics.

The rocket's acceleration depends on three major factors: the exhaust velocity of the gases relative to the rocket (Ve), the rate at which mass is ejected from the rocket (Am/At), and the mass of the rocket (m). The faster the rocket burns its fuel and the smaller the rocket's mass, the greater its acceleration. Acceleration increases continuously until the fuel is exhausted.

In the given question, the rocket steadily increases speed at a rate of 14.0m/s^2 for a 3.50s interval while burning fuel. After running out of fuel, the rocket continues upward but slows steadily at a rate of 10.0m/s^2 until reaching maximum height.

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