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  • Calculating Aircraft Velocity During Takeoff Acceleration: A Physics Problem
    Here's how to solve this problem:

    Understanding the Concepts

    * Acceleration: Acceleration is the rate of change of velocity over time. In this case, the aircraft is accelerating at 3 meters per second squared (m/s²). This means its velocity increases by 3 meters per second every second.

    * Initial Velocity: We're not given an initial velocity, so we'll assume the aircraft starts from rest (initial velocity = 0 m/s).

    Formula

    We can use the following formula to calculate the final velocity (v):

    v = u + at

    Where:

    * v = final velocity

    * u = initial velocity

    * a = acceleration

    * t = time

    Calculation

    1. Plug in the values:

    v = 0 + (3 m/s²) * 4 s

    2. Solve for v:

    v = 12 m/s

    Answer

    The aircraft gains a velocity of 12 meters per second in 4 seconds.

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