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  • Calculating Final Velocity of an Object Dropped on an Inclined Plane
    Given:

    - Height (h) = 50 cm = 0.5 m

    - Acceleration due to gravity (g) = 9.8 m/s²

    To find:

    - Speed (v) when the ball reaches the bottom of the plane.

    Solution:

    We can use the following equation to calculate the final speed of the ball:

    ```

    v² = u² + 2gh

    ```

    where:

    - v is the final speed of the ball

    - u is the initial speed of the ball (0 m/s, since the ball is at rest)

    - g is the acceleration due to gravity

    - h is the height from which the ball is dropped

    Substituting the given values into the equation, we get:

    ```

    v² = 0² + 2 * 9.8 m/s² * 0.5 m

    v² = 9.8 m²/s²

    v = √9.8 m²/s²

    v = 3.13 m/s

    ```

    Therefore, the speed of the ball when it reaches the bottom of the plane is 3.13 m/s.

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