# If a rocket with a mass of #3500 tons # vertically accelerates at a rate of # 9/2 m/s^2#, how much power will the rocket have to exert to maintain its acceleration at 15 seconds?

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To calculate the power exerted by the rocket, we can use the formula:

Power = Force × Velocity

First, we need to find the force exerted by the rocket. We can use Newton's second law of motion:

Force = Mass × Acceleration

Substituting the given values:

Force = 3500 tons × (9/2) m/s^2

Next, we can calculate the force:

Force = 3500 tons × 9/2 m/s^2

Now, we can find the power:

Power = Force × Velocity

Power = (3500 tons × 9/2 m/s^2) × 15 seconds

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