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  • Calculating Average Velocity with Changing Speed: A Step-by-Step Guide
    It seems like you're asking about the average velocity of a body with a changing velocity. Here's how to calculate it and the information you need:

    Understanding Average Velocity

    Average velocity is the overall displacement of an object divided by the total time taken. It's not simply the average of the initial and final velocities.

    What We Need:

    * Initial velocity (v₁): You've given this as 13 m/s.

    * Final velocity (v₂): You've given this as 30 m/s.

    * Time (t): You haven't provided the time it takes for the velocity to change.

    Calculating Average Velocity

    1. If you know the time: The simplest way to calculate average velocity is:

    * Average velocity (v_avg) = (v₁ + v₂) / 2

    * Example: If the velocity changes from 13 m/s to 30 m/s over 5 seconds:

    * v_avg = (13 + 30) / 2 = 21.5 m/s

    2. If you don't know the time: You need additional information. You could use the following steps:

    * Find the acceleration (a): You can use the formula: a = (v₂ - v₁) / t.

    * Calculate the displacement (Δx): You can use one of the following equations of motion:

    * Δx = v₁t + (1/2)at²

    * Δx = (v₁² + v₂²) / (2a)

    * Calculate the average velocity: v_avg = Δx / t

    Let me know if you have the time it takes for the velocity change, and I can give you the precise average velocity.

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