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  • Calculating Acceleration and Final Velocity: A Physics Problem
    Here's how to analyze the situation and calculate the resulting motion:

    1. Calculate the Acceleration:

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

    * Rearranging to solve for acceleration: a = F/m

    * Plugging in the values: a = 6.0 N / 3.0 kg = 2.0 m/s²

    2. Calculate the Final Velocity:

    * Acceleration is the change in velocity over time: a = (v_f - v_i) / t

    * Initial velocity (v_i) is 0 m/s because the object is at rest.

    * Rearranging to solve for final velocity (v_f): v_f = a * t + v_i

    * Plugging in the values: v_f = (2.0 m/s²) * (10 s) + 0 m/s = 20 m/s

    3. Calculate the Displacement (Distance Traveled):

    * Using the equation for constant acceleration: d = v_i * t + (1/2) * a * t²

    * Plugging in the values: d = (0 m/s) * (10 s) + (1/2) * (2.0 m/s²) * (10 s)² = 100 m

    Therefore:

    * The object accelerates at a rate of 2.0 m/s².

    * After 10 seconds, the object will have a final velocity of 20 m/s.

    * The object will have traveled a distance of 100 meters.

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