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  • Calculating Rocket Acceleration: A Step-by-Step Guide
    Here's how to solve this problem:

    1. Understand the Forces:

    * Weight (Force of Gravity): 5711 N (acting downward)

    * Thrust (Upward Force): 22214 N (acting upward)

    2. Calculate the Net Force:

    * Net Force = Thrust - Weight

    * Net Force = 22214 N - 5711 N = 16503 N

    3. Apply Newton's Second Law:

    * Newton's Second Law: F = ma (Force = mass * acceleration)

    * To find the acceleration, we need the mass of the rocket. We can find this using the weight and gravity:

    * Weight = mass * gravity

    * mass = Weight / gravity

    * mass = 5711 N / 9.8 m/s² ≈ 582.8 kg

    4. Calculate the Acceleration:

    * acceleration = Net Force / mass

    * acceleration = 16503 N / 582.8 kg ≈ 28.3 m/s²

    Therefore, the rocket's acceleration is approximately 28.3 m/s².

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