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  • Uniform Motion Equations: Understanding Constant Velocity & Displacement
    When an object is moving in uniform motion, its velocity is constant. This means that the object is not accelerating, and its displacement is a linear function of time. The equations of motion for an object in uniform motion are:

    $$x = x_0 + vt$$

    $$x_f=x_i \pm vt,\text{ and}$$

    $$v=\frac{\Delta x }{\Delta t}$$

    where:

    * $x$ is the position of the object at time $t$

    * $x_0$ is the initial position of the object

    * $v$ is the velocity of the object

    * $t$ is the time elapsed

    These equations can be used to describe the motion of any object that is moving in a straight line with constant velocity.

    * If you know the initial position and velocity of an object, you can use the first equation to determine its position at any later time.

    * If you know the initial position of an object and its position at a later time, you can use the second equation to determine its velocity.

    * If you know the distance traveled by an object and the time it took to travel that distance, you can use the third equation to determine its velocity.

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